{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smart water flooding analytical solution\n",
    "This document is mostly based on the SPE-7660 paper by Gary Pope. I first implement the simple water flooding analytical solution and then expand it to low salinity water flooding with and without ionic adsorption.\n",
    "\n",
    "## Mathematical model\n",
    "The two phase flow equation in a 1D porous medium reads\n",
    "$$\\frac{\\partial S_w}{\\partial t}+\\frac{u}{\\varphi}\\frac{df_w}{dS_w}\\frac{\\partial S_w}{\\partial x} = 0 $$\n",
    "The dimensionless time and space are defined as\n",
    "$$t_D = \\frac{ut}{\\varphi L}$$ and\n",
    "$$x_D = \\frac{x}{L}$$\n",
    "The velocity of a constant saturation front is calculated by\n",
    "$$V_{S_w} = (\\frac{dx}{dt})_{S_w}=\\frac{u}{\\varphi}\\frac{df_w}{dS_w}$$\n",
    "The shock front is specified by\n",
    "$$\\frac{f_w(S_{w,shock})-f_w(S_{w,init})}{S_{w,shock}-S_{w,init}}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "The injected water front velocity (i.e., a tracer in the injected water, or the low salinity of the injected brine) is calculated by\n",
    "$$V_{c} = (\\frac{dx}{dt})_{c}=\\frac{u}{\\varphi}\\frac{f_w}{S_w}$$\n",
    "an the water saturation that corresponds to the position of the salinity front is given by\n",
    "$$\\frac{f_w(S_{w,s})-f_w(0)}{S_{w}-0.0}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "which is the tangent line fron the point (0,0) to the $f_w-S_w$ (fractional flow) curve.\n",
    "The breakthrough time (in number of pore volume) is calculated by\n",
    "$$t_{D, bt} = \\left(\\frac{df_w}{dS_w}\\right)^{-1}_{S_{w,shock}}$$\n",
    "The other useful relation is the average saturation after breakthrough, which reads\n",
    "$$S_{w,av} = S_{or}+\\left[(1-f_w)\\left(\\frac{df_w}{dS_w}\\right)\\right]_{x=L}, \\;t_D>t_{D,bt}$$ \n",
    "The recovery factor then can be calculated based on the fact that the recovery curve is linear until the breakthrough, and after breakthrough it gradually reaches a plateau. The oil recovery factor before the breakthrough is calculated by\n",
    "$$R = \\frac{(1-f_w(S_{w,init}))t_D}{1-S_{w,init}}, \\;t_D<t_{D,bt}$$ and after breakthrough by\n",
    "$$R = \\frac{S_{w,init}-S_{w,av}}{1-S_{w,init}}, \\; t_D>t_{D,bt}$$\n",
    "Let's try the above formulation in Julia."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing the codes\n",
    "The `FractionalFlow.jl` package is built to solve and visualize the analytical solutions to several injection problem in the petroleum engineering, including water flooding, low salinity water flooding with and without ionic adsorption, and solvent flooding (carbonated water, DME, etc). There are several functions that are documented in the code. Here, I show by example how to define a problem, solve it, and visualize the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Main.FractionalFlow"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Water flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fd9836b1780>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "FF.visualize(rel_perms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>Corey rel-perm parameters</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>Corey rel-perm parameters</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms, title=\"Corey rel-perm parameters\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fd982fdfef0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, \n",
    "    p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = range(0, 1, length=100)\n",
    "# plot(sw_tmp, fw.(sw_tmp), xlabel = \"Sw\", ylabel=\"fw\", label=\"\")\n",
    "# plot!(sw_tmp, dfw.(sw_tmp))\n",
    "# figure(1)\n",
    "# plot(pv, R) \n",
    "# xlabel(\"PV injected\")\n",
    "# ylabel(\"Recovery factor\") \n",
    "# title(\"Water flooding\")\n",
    "# figure(2)\n",
    "# plot(xt, sw)\n",
    "# xlabel(\"x/t [-]\")\n",
    "# ylabel(\"Water saturation [-]\")\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity water flooding - with/without adsorption"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fd982d84e48>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_hs = FF.oil_water_fluids(mu_water=1.1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## compare with numeric"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  99%|████████████████████████████████████████▋|  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.3043478260869565, 2.608695652173913, 3.9130434782608696, 5.217391304347826, 6.521739130434783, 7.82608695652174, 9.130434782608697, 10.434782608695654, 11.739130434782611  …  1162.1739130434953, 1163.4782608695823, 1164.7826086956693, 1166.0869565217563, 1167.3913043478433, 1168.6956521739303, 1170.0000000000173, 1171.3043478261043, 1172.6086956521913, 1173.9130434782783], [0.0, 0.0003333333333333334, 0.0006666666666666668, 0.001, 0.0013333333333333335, 0.001666666666666667, 0.002, 0.002333333333333334, 0.002666666666666667, 0.003000000000000001  …  0.29700000000000437, 0.2973333333333377, 0.2976666666666711, 0.29800000000000443, 0.2983333333333377, 0.2986666666666711, 0.29900000000000443, 0.2993333333333378, 0.29966666666667113, 0.30000000000000443], [0.0, 0.00041411042944703835, 0.0008282208588938454, 0.001242331288341809, 0.0016564417177911603, 0.0020705521472401647, 0.002484662576688128, 0.002898773006136901, 0.003312883435584171, 0.0037269938650324815  …  0.3689723926379617, 0.36938650306742044, 0.3698006134968716, 0.37021472392631405, 0.3706288343557653, 0.37104294478521216, 0.3714570552146584, 0.37187116564410266, 0.372285276073557, 0.37269938650301004], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0014999999999999998, 0.0018, 0.0021, 0.0024, 0.0026999999999999997  …  0.1473, 0.14759999999999998, 0.14789999999999998, 0.1482, 0.1485, 0.1488, 0.14909999999999998, 0.14939999999999998, 0.1497, 0.15], [0.9999999999999998, 0.8473659900347809, 0.8461810932567062, 0.8450675994575766, 0.8439932748987032, 0.842945783770268, 0.8419188611495353, 0.840908809559237, 0.8399132249721772, 0.8389304328110783  …  0.200000000000031, 0.2000000000000365, 0.20000000000003135, 0.20000000000002163, 0.20000000000000592, 0.19999999999997767, 0.1999999999999691, 0.1999999999999773, 0.19999999999996856, 0.19999999999996293], [0.0, 2.8065012012679147e-83, 3.277705856504067e-81, 1.926051094422788e-79, 7.586960098596268e-78, 2.2527667230452615e-76, 5.37650662374789e-75, 1.074099685925121e-73, 1.847156983071098e-72, 2.791055403023937e-71  …  1.000000000000338, 1.0000000000003442, 1.000000000000268, 1.0000000000001212, 1.0000000000001386, 1.0000000000002485, 1.0000000000000624, 0.999999999999945, 0.999999999999972, 0.9999999999998984], [1.0, 0.9999999999999761, 1.0000000000000102, 1.0000000000000144, 1.0000000000000189, 0.9999999999999779, 0.9999999999999694, 0.9999999999999435, 0.9999999999999172, 0.9999999999998913  …  0.9999999999997864, 0.999999999999812, 0.9999999999998254, 0.9999999999998501, 0.9999999999998459, 0.9999999999998526, 0.9999999999998678, 0.999999999999884, 0.9999999999998893, 0.9999999999998985])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "# plot(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.000000000000007, 0.5, 'Water saturation [-]')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1.0.-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity flooding, an exceptional case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MAEYNdAVEO4+d4zYeREREF6FoQPT4448jPz8f8+fPx6+//oqPP/4Y77//Ph555BEAQGVlJebMmYO8vDwcO3YMmzZtws0334zY2Fj8/ve/BwCIoogZM2Zg9uzZ+Oabb7B7927cfffdSE1NlWedDRgwAFlZWZg5cyby8/ORn5+PmTNnYvz48c3OMFMTX6fdu3WPCsOAhEg4JeC7g6UX/wAREVEQUzQguvrqq7F69Wp88sknSElJwV//+le89dZbmDp1KgBAq9Viz549uOWWW9C3b19MmzYNffv2RV5eHiIiIuTrLFy4ELfeeismTZqEa665BmFhYVizZg202vogYuXKlUhNTcWYMWMwZswYXH755Vi+fHnA79lX9bvd+/6nGl3XS8TZZkRERBcmSJLE5Yy9YLFYIIoizGYzIiMjA/a9M5buwDcHS/HKbamYfHUPnz67p8iMmxdtQZhBi5+eHY0QHwZmExERdQbett+Kb91BF9balBkApFwSCVNkCM7bHMj771l/V42IiKjTYECkcr7uZdaQIAgYNdC1/tJ6ps2IiIhaxIBI5Xzd7b6x0QNdW558c+AUN3slIiJqAQMilavfy6x143/Se0Wji1GH0gorfuZmr0RERM1iQKRybUmZuT6nxQ39XWmzz3YV+a1eREREnQkDIpVry6BqtynDXLPTPv/pBMzVdr/Ui4iIqDNhQKRybR1DBLjSZn3ju6Da7sC/2EtERETUBAMilWvtXmYNCYKA7IxLAQDL83/j4GoiIqJGGBCpnD9SZgAw8cpLEGHU4eiZKmz59Yw/qkZERNRpMCBSsVqHE7V1vTlt6SECgHCjDrcN6Q4AWJZ3rI01IyIi6lwYEKmYzeGUX7dlDJFbdkYyAOCbg6UoPHe+zdcjIiLqLBgQqZh7DSIAMGjb/qfq3a0LrusTC0kCVuT/1ubrERERdRYMiFTMPX5IpxGg80NABADT6gZXr9pRiGqbwy/XJCIi6ugYEKlYWxdlbM4N/ePQPSoU5mo71vx80m/XJSIi6sgYEKlY/RpEbZth1pBWIyA73TWW6IMtR+DgFHwiIiIGRGpWv4+Zf/9Md17dA2KoHr+cqsRnuwr9em0iIqKOiAGRirVHygwAxDA9HrvxMgDAG+t/wXlbrV+vT0RE1NEwIFIxfy3K2JzsjGQkRYeitMKKxd8f9fv1iYiIOhIGRCom9xD5YQ2ixow6LZ7K6g8AeO/7/6LUUuP37yAiIuooGBCpWHuNIXK7KTUBVyR1xXmbAws3/tIu30FERNQRMCBSMfdK1e2RMgNcm77++aYBAIBPdxTil1MV7fI9REREaseASMXau4cIAIZeGo2sQSY4JWDB2gPt9j1ERERqxoBIxdpzDFFDT43rD51GwHeHTmP9vpJ2/S4iIiI1YkCkYu05y6yhnrHhmHFdTwDA05/vQWkFB1gTEVFwYUCkYvUBUfv/mf40ui/6myJwrsqGpz77DySJK1gTEVHwYECkYlZ7+yzM2ByjTou/3XklDDoNvjt0Giu2HW/37yQiIlILBkQq1h57mV1IP1MEnq5bm+ilr/bj19LKgHwvERGR0nTeFJo4caLPF/7HP/6BuLg4nz9H9QKZMnObnnkpvj1Yii2/nkHOp7vx+UPXwBDA7yciIlKCVy3dF198AYPBAFEUvXp89dVXqKxk70JbtddeZhei0Qh4/Y7BEEP12HvCgtfWHQzYdxMRESnFqx4iAHj77be97vH57LPPWl0hqle/DlFgUmZuJjEEL09MxUMrf8LiH46iZ2wXTEnrEdA6EBERBZJXXQ/fffcdoqOjvb7o119/jUsuuaTVlSKX+jFEgU9ZjUtNQM6oPgCAZ/9vL747VBrwOhAREQWKVy3t8OHDodN53ZmEa6+9FkajsdWVIhclUmYN/XFkH9x2VXc4nBIeXfkT9p00K1IPIiKi9tamlra6uhoWi8XjQf4TqIUZWyIIAhZMTEVm7xhU2Ry4d+kOFJurFakLERFRe/I5IDp//jweffRRxMXFoUuXLoiKivJ4kP8EYi+zizHoNHj37iHoG98FpyxW/OHDHThXZVOsPkRERO3B55b2iSeewLfffot33nkHRqMRH3zwAZ5//nkkJiZi2bJl7VHHoBWovcwuRgzV4/9NvxrdIow4WFKBye/l4ZSF23sQEVHn4XNLu2bNGrzzzju4/fbbodPpcN111+HPf/4z5s+fj5UrV7ZHHYOW0imzhrpHheGTmemIjzTicGklJr2Xh6Ky80pXi4iIyC98DojOnTuHnj1dG4FGRkbi3LlzAFwDqb///nv/1i7IKbEw44VcFtcF/3wgE0nRofjt7Hnc8Y88HDnN9aaIiKjj87ml7dWrF44dOwYAGDhwIP73f/8XgKvnqGvXrn6tXLCr38tM+R4itx4xYfjnA5no3S0cxeYaTHovD3tPcPYZERF1bD4HRH/4wx/w888/AwDmzp0rjyV6/PHH8cQTT/i9gsFMyXWILsQkhuDTBzIwMCESZyptuP0fW/F/BSeUrhYREVGrCZIkSW25wPHjx7Fz50707t0bgwcP9le9VMdisUAURZjNZkRGRgbkO1OeW4dKay02PzECyTHhAflOX5ir7Zj1yW5s/uU0AOC+a3vi6XH9odOqK4AjIqLg5W377VPLJUkSDh8+jP3796O2thYA0KNHD0ycOLFTB0NKqV+YUT0ps4bcs88euaE3AOCDLUdxz//bzmn5RETU4XgdEB07dgxXXHEF+vfvj9TUVFx22WXYtWtXe9YtqDmcEuwOV+edWgZVN0erEfDE2P54d+pVCDNosfW/Z3HT2z/gh8Onla4aERGR17xuaZ966inU1NRg+fLl+Oc//4mEhAQ89NBD7Vm3oGarGz8EqG8MUXPGpSbgi0euQc9Y12Dr7CXb8ewXe3HeVqt01YiIiC7K6w3KfvjhB3zyyScYPnw4AGDYsGFITk5GdXU1QkND262CwcqdLgMAQwcZk9M3PgJfzboWr3x9EB/l/Ybl+b/h+8On8fodg3H1pd5vDkxERBRoXre0JSUl6N+/v/y+e/fuCA0NxalTp9qlYsHOPcNMpxE61CDlMIMOz9+SghUz0pAohuC3s+cx6b08/M/qPRxbREREquV1SysIAjQaz+IajQZtnKRGLXDvY2ZQ8fihC7m2TyxyH78etw/pDkkCPt52HDe8vgnL8o6h1uG86OeJiIgCyevWVpIk9O3bF9HR0fKjsrISV155pccx8o/6GWYdMyACgMgQPV6/YzA+vT8d/U0RMFfb8Zf/24fxf9+CH389o3T1iIiIZF6PIfrwww/bsx7UiJr2MWurtF4x+Pdj1+KT7cfx+vpfcLCkAlM/2Ib0XtH40+h+GNaTgTQRESnL64Bo2rRp7VkPakQtO937i06rQXbGpRh/eSL+9s1hfLztOPKPnMOk9/JwXZ9YPD66L67qEaV0NYmIKEgp3tqeOHECd999N2JiYhAWFoYrrrjCY30jSZIwb948JCYmIjQ0FCNGjMC+ffs8rmG1WvHYY48hNjYW4eHhmDBhAoqKijzKlJWVITs7G6IoQhRFZGdno7y8PCD32BruMUQdOWXWnKhwA+ZNGITvnhiBu4b1gE4j4IfDZzDxna2Y/F4eNu4/BaeT49KIiCiwvGpto6OjceaM92M+evTogd9+++2i5crKynDNNddAr9fj66+/xv79+/HGG294bBL76quv4s0338SiRYuwY8cOmEwmjB49GhUVFXKZnJwcrF69GqtWrcKWLVtQWVmJ8ePHw+Gon7o+ZcoUFBQUIDc3F7m5uSgoKEB2drbX9xRonSll1pxLuoZiwcRUfDdnBO4Y0h06jYBtR8/hvmU7MWrhZqzc9htq7I6LX4iIiMgPvNrLTKPR4KOPPoIoil5d9K677sKePXvQq1evC5Z7+umn8eOPP+KHH35o9rwkSUhMTEROTg6eeuopAK7eoPj4eLzyyit44IEHYDab0a1bNyxfvhyTJ08GAJw8eRJJSUlYu3Ytxo4diwMHDmDgwIHIz89HWloaACA/Px8ZGRk4ePAg+vXrd9F7CvReZrl7i/Hgip8wNDkKnz2U2e7fp7RiczWW/ngMH28/jooa12KOkSE6TLyqO+4cloT+psDsH0dERJ2Lt+23omOIvvzyS4wdOxZ33HEHNm/ejEsuuQQPP/wwZs6cCQA4evQoSkpKMGbMGPkzRqMRw4cPx9atW/HAAw9g165dsNvtHmUSExORkpKCrVu3YuzYscjLy4MoinIwBADp6ekQRRFbt25tNiCyWq2wWq3ye4vF4vf7vxC17nTfXhLEUMz93QA8NrIPPt1RiKVbj6LwXDWWbj2GpVuP4coeXXHX1T2QlWpCZIhe6eoSEVEn41Vr63Q6fX5crHcIAI4cOYJ3330Xffr0wbp16/Dggw9i1qxZWLZsGQDXYpAAEB8f7/G5+Ph4+VxJSQkMBgOioqIuWCYuLq7J98fFxcllGluwYIE83kgURSQlJV30fvypfgxR50yZtaSLUYcZ1/bE5jk3YNm9wzAuxQSdRsDu4+V48l//wdAXN+Lhlbuwbl+Jx2reREREbeF1D1F7cDqdGDp0KObPnw8AuPLKK7Fv3z68++67uOeee+RygiB4fE6SpCbHGmtcprnyF7rO3Llz8ac//Ul+b7FYAhoUdYZ1iNpCoxFwfd9uuL5vN5RW1OCfO4vw+U9F+O/pKqzdU4K1e0oghuoxemA8sgaZcG2fWITogyt4JCIi/1E0IEpISMDAgQM9jg0YMAD/+te/AAAmkwmAq4cnISFBLlNaWir3GplMJthsNpSVlXn0EpWWliIzM1Mu09wWI6dPn27S++RmNBphNBrbcHdtUz+oOjgDoobiIkLwyA2X4eERvbHvpAVf7D6BL38+idIKKz7bVYTPdhUh3KDFiH5xGDMoHtf36YaocIPS1SYiog5E0db2mmuuwaFDhzyO/fLLL0hOTgYA9OzZEyaTCRs2bJDP22w2bN68WQ52hgwZAr1e71GmuLgYe/fulctkZGTAbDZj+/btcplt27bBbDbLZdSms88yaw1BEJByiYg/jx+IvLkj8fHMNEzPvBSmyBBU2Rz4ak8x/riqAENe3ICJ7/yIv39zGHuKzJzGT0REF6VoD9Hjjz+OzMxMzJ8/H5MmTcL27dvx/vvv4/333wfgagBzcnIwf/589OnTB3369MH8+fMRFhaGKVOmAABEUcSMGTMwe/ZsxMTEIDo6GnPmzEFqaipGjRoFwNXrlJWVhZkzZ+K9994DANx///0YP368VzPMlGC1d66FGf1NqxGQ2TsWmb1j8ZfxA/GfE2as21eCbw+U4tCpCvx0vBw/HS/HGxt+gRiqR1rPaKT3ikF6rxj0N0VAo7lwypWIiIKLogHR1VdfjdWrV2Pu3Ll44YUX0LNnT7z11luYOnWqXObJJ59EdXU1Hn74YZSVlSEtLQ3r169HRESEXGbhwoXQ6XSYNGkSqqurMXLkSCxduhRabX3vysqVKzFr1ix5NtqECROwaNGiwN2sj5gy855GI+CKpK64Iqkrnsrqj5Pl1dh06DQ2HSrFj7+egbnajvX7T2H9flfalAESERE15tU6RI05HA6sXr0aBw4cgCAI6N+/P2699VbodIrGV+0q0OsQzftyH5ZuPYZHb7gMc8aqsxerI6h1OLH3pAX5R84i/8hZ7Dh6DlU2z9lpkSE6DK4LqC7v3hWDk0TERYQoVGMiIvInv69D5LZ3717ccsstKCkpkdNNv/zyC7p164Yvv/wSqampra81yYJ9lpm/6LQauffoweG9mw2QLDW1+OHwGfxwuH419gQxBIO7d8XgpK4Y3F1ESneR6x8REXViPgdE9913HwYNGoSdO3fKs7rKysowffp03H///cjLy/N7JYORvA4RxxD5VeMAye5w4mBxBX4uKsfPheX4T5EZv5RWoNhcg2JzCXL31a9T1T0qFP1NEehnikB/UyT6myLQMzYcOi3/RkREHZ3PAdHPP//sEQwBQFRUFF566SVcffXVfq1cMOMss8DQazVI7S4itbuIu9NdsxurrLXYe8LsCpKKzPi5sBxFZdXyY+OBUvnzBp0Gl3Xrgv6mCPQ1RaB3ty7o1S0cPaLDoGegRETUYfgcELdlfAkAACAASURBVPXr1w+nTp3CoEGDPI6Xlpbisssu81vFgh1TZsoJN+qQ1isGab1i5GPm83YcLLHgYElF3cOCQyUVOG9zYH+xBfuLPbd20WkE9IgOQ69u4XKQ1KtbF1waE47YLoaLLixKRESB5XNANH/+fMyaNQvz5s1Deno6ANdGqS+88AJeeeUVjz2/AjH4uLMKtr3M1E4M0zcJkpxOCUVl1ThQYsHB4gr8eroSR05X4sjpKlTbHThypgpHzlR59CgBQJhBix7RYUiKDkOPBo+k6DB0jwrlittERArweZaZRlPfQLv/X677Eg3fC4IAh6Pz7DUV6Flmk/6Rh+3HzuGdqVfhd6kJF/8AqYbTKaHEUoMjp6tw5IwrQPpvXaB00lyNC/0XJwhAbBcjEsUQJIihSOgagsS65wQxFIldQxAXEQItlwkgIvJKu80y++6779pUMfIOU2Ydl0YjILFrKBK7huLaPrEe56y1Dpwoq8bxc+dReO48jsuPahw/W4UqmwOnK6w4XWHFz0XmZq+v1QgwRYYgQQxBQtdQJIohMIkh6BZhRLcuRsRFul6HG7RMzRERecnngGj48OHtUQ9qhIOqOyejTote3bqgV7cuTc5JkoRzVTacLK/BSXM1isurUWyuwUlzjfy6xFIDh1PCifJqnCivBn4ra/G7QvVaV5AUYURc3XO3LnXvI42I7WJEdLgB0eEGhOoZPBFRcGvVSorl5eVYsmSJvDDjwIEDce+990IURX/XL2hxDFHwEQQBMV2MiOliRGr35v9bcjglnK6w1gVMNSg2V+NkeQ1OWWpcPUuVrt6lSmstqu0OuQfqYow6DaLDDYgKMyCmi+vZ/T46XI+ocAOiwwyu53ADuobpGawTUafic0C0c+dOjB07FqGhoRg2bBgkScKbb76Jl156CevXr8dVV13VHvUMOvJeZkyZUQNajQBTXYoMPVoud95WK6feSuueXa89A6eyKjtsDiestc66tZdqvK5LF6MOUeF6RIUZIIbqERmiR2SoHpGhOvm9GOp6RLqfQ3SIDNVzSQIiUh2fA6LHH38cEyZMwOLFi+WtOmpra3HfffchJycH33//vd8rGYyYMqO2CDPokByjQ3JM+AXLSZKEKpsDZVU2nKuy4dx5m/y67LwN56rsrvd1x13HbHBKQKW1FpXWWhSeq25F/bQeQVNkqA4RIXp0MeoQbtQhIkSHcIMWXUL06GLUootRj3Cj1nXcqHOVM+i4Bx0R+U2reogaBkMAoNPp8OSTT2Lo0KF+rVww4+auFAiCIKBLXYCRFB3m1WecTgkVNbU4VxcclVXZYKmxw1Jth7m6FpYaO8zV7vd2WGpqYal7X2GtBQCctzlw3ubwqUeqOeEGrRwgdQlxBUldQnTyPbnOaRFq0CHMoEWoXotQgxZhdY9QvU5+HWLQIkyv5crjREHK54AoMjISx48fR//+/T2OFxYWeuxAT21j4xgiUimNRoAYpocYpkfP2Av3QDVW63Ci0lpbFzDVPdcFUJU1taiw1qLKWovKmlpU2lzPVXU9UfKjpha1TtfaBVU2B6psDpRWWP12fwatRg6a5Gd9XVClb3TcoENog2Ohei2MOg1CGjyHNHPMqNOwd4tIZXwOiCZPnowZM2bg9ddfR2ZmJgRBwJYtW/DEE0/grrvuao86Bh2nU4LNwZQZdT46rQZdwwzoGmZo9TUkSYK11hVYVVlrUdFM0CQHVVYHqqy1OG93oNrmQLW9FudtrtfuXqpqm+u8e30om8MJW7UT5mq7n+66eQatBka9BkadFiH6pgGTK5iqP2/UaWHUaxDSzHOIXguDTgODTgO9VoBRp4FBq5Xfu88ZtVrodQIMWg17woga8Tkgev311yEIAu655x7U1rq6v/V6PR566CG8/PLLfq9gMHIHQwBTZkSNCYIg97zEdjH65ZruIKva5qgLnmrrAyZ7fQDV4vG6QKvG7oC11okauxNW+XX9s7tnC6gLvBxOVKDWL/fgK43g2ovPoNV4Pus00Dc+1uCcQauBvu7ZeIHyep0AncYVkOnrAjC9RoBep4FO4zrmOi5Ar2muvOs4e9IoUHwOiAwGA/72t79hwYIF+O9//wtJknDZZZchLMy78Qd0ce6d7gEGRESB0DDIirp48VarrZvR1zBIqrE7Ya1t+my1O1HjfrY76l/Lz66gq6buOrZap+vhcMLucNa/rztmczg9Vkl3SkCN3RW8qZlWIzQIoIRWBFZ15d1ltK7P6eqe3dfXal3POo2rnHxcU19Or/V8Lz9rXZ+rf92oXMPzjT7L9b/Uw6eAqLa2FiEhISgoKEBKSgpSU1Pbq15Bzb1KtbbuP1oi6hx0dQ10uLFVS8C1iSRJqHVKsNXWB0zWCwVQDZ4bl294rL6cVPfsCs5qnRLsDidqHa5nu0NCrdP17Hm8vqzd0XRfG4dTgsMpyRNNOpumwZVn4KTXNh9I6TQaaDSudkIj1B/XCHXP7rKC67VWcAV9WqG+nE7rLg+5nE7ToLym/uG+bsPjTcuhvlyDc/J1Bc/r6Zq5jhiqh0GhjgCf/qvU6XRITk7uVHuUqRFnmBGRvwmCIPeaqJUkuYIfu0OC3dkoaGoSWNW9biGwqnU4LxiIOZyuANH17Dre3LGG7xuetzskOJzO+vOOBp9zSnA0+qyzhT0Ma+uu6b9pAR3bR/cOw/C+3RT5bp//b8qf//xnzJ07FytWrEB0dHR71CnocR8zIgpGQl2vhU4LhKJzTShxOpsPrmodTYMtd3Bldx93eH7OXvfeIUlwOutfu3vTnA1ee5ZDXTknHE5coNzFrof6cg3Ktng9yRUgusq1/L21TglaBVOIPgdEb7/9Nn799VckJiYiOTkZ4eGe025/+uknv1UuWLlz+pxhRkTUOWg0AgzyAHH+b3tLJKmFrrQA8DkguvXWW9ujHtQA9zEjIqJgpOQgc58Doueee6496kENMGVGREQUWGxxVYj7mBEREQWWVz1EUVFRXndjnTt3rk0Vovp1iNhDREREFBheBURvvfWW/Prs2bN48cUXMXbsWGRkZAAA8vLysG7dOjz77LPtU8sgI6fMOIaIiIgoILwKiKZNmya/vu222/DCCy/g0UcflY/NmjULixYtwsaNG/H444/7v5ZBhikzIiKiwPK5C2LdunXIyspqcnzs2LHYuHGjXyoV7LgwIxERUWD53OLGxMRg9erVTY5/8cUXiImJ8Uulgp3VzllmREREgeTztPvnn38eM2bMwKZNm+QxRPn5+cjNzcUHH3zg9woGI6bMiIiIAsvngGj69OkYMGAA3n77bXz++eeQJAkDBw7Ejz/+iLS0tPaoY9DhwoxERESB1aotl9PS0rBy5Up/14XqcGFGIiKiwGKLq0JW7mVGREQUUAyIVIizzIiIiAKLLa4KcWFGIiKiwGKLq0KcZUZERBRYrQ6Ifv31V6xbtw7V1dUAAEmS/FapYMe9zIiIiALL5xb37NmzGDVqFPr27Yvf/e53KC4uBgDcd999mD17tt8rGIyYMiMiIgosn1vcxx9/HDqdDsePH0dYWJh8fPLkycjNzfVr5YKVO2Vm0DJlRkREFAg+r0O0fv16rFu3Dt27d/c43qdPH/z2229+q1gw4ywzIiKiwPK5xa2qqvLoGXI7c+YMjEajXyoV7OS9zJgyIyIiCgifW9zrr78ey5Ytk98LggCn04nXXnsNN9xwg18rF6xsnGVGREQUUD6nzF577TWMGDECO3fuhM1mw5NPPol9+/bh3Llz+PHHH9ujjkGHKTMiIqLA8rnFHThwIP7zn/9g2LBhGD16NKqqqjBx4kTs3r0bvXv3bo86Bh3OMiMiIgosn3qIamtr8dJLL+Hee+/F888/3151Cnrcy4yIiCiwfOqC0Ol0eO211+BwONqrPgSmzIiIiALN5xZ31KhR2LRpUztUhQDA6ZRgczAgIiIiCiSfB1WPGzcOc+fOxd69ezFkyBCEh4d7nJ8wYYLfKheM3MEQABj1TJkREREFgs8B0UMPPQQAePPNN5ucEwSB6bQ2co8fAgCDlj1EREREgeBzQOR0Oi9eiFrNPcNMIwB6raBwbYiIiIIDuyBUxtpgUUZBYEBEREQUCD73EL3wwgsXPP+Xv/zF62vNmzevyfT9+Ph4lJSUAACmT5+Ojz76yON8Wloa8vPz5fdWqxVz5szBJ598gurqaowcORLvvPOOx15rZWVlmDVrFr788ksArnFOf//739G1a1ev6xooXIOIiIgo8HwOiFavXu3x3m634+jRo9DpdOjdu7dPAREADBo0CBs3bpTfaxvt8J6VlYUPP/xQfm8wGDzO5+TkYM2aNVi1ahViYmIwe/ZsjB8/Hrt27ZKvNWXKFBQVFSE3NxcAcP/99yM7Oxtr1qzxqa6BUGPnDDMiIqJA8zkg2r17d5NjFosF06dPx+9//3vfK6DTwWQytXjeaDS2eN5sNmPJkiVYvnw5Ro0aBQBYsWIFkpKSsHHjRowdOxYHDhxAbm4u8vPzkZaWBgBYvHgxMjIycOjQIfTr16/Za1utVlitVo97DAQr9zEjIiIKOL90Q0RGRuKFF17As88+6/NnDx8+jMTERPTs2RN33nknjhw54nF+06ZNiIuLQ9++fTFz5kyUlpbK53bt2gW73Y4xY8bIxxITE5GSkoKtW7cCAPLy8iCKohwMAUB6ejpEUZTLNGfBggUQRVF+JCUl+XxvrSGnzNhDREREFDB+a3XLy8thNpt9+kxaWhqWLVuGdevWYfHixSgpKUFmZibOnj0LwLXm0cqVK/Htt9/ijTfewI4dO3DjjTfKPTclJSUwGAyIioryuG7DcUglJSWIi4tr8t1xcXFymebMnTsXZrNZfhQWFvp0b60l9xBxDBEREVHA+Jwye/vttz3eS5KE4uJiLF++HFlZWT5da9y4cfLr1NRUZGRkoHfv3vjoo4/wpz/9CZMnT5bPp6SkYOjQoUhOTsZXX32FiRMntnhdSZI8Zmg1N1urcZnGjEYjjEajT/fjD9zHjIiIKPB8DogWLlzo8V6j0aBbt26YNm0a5s6d26bKhIeHIzU1FYcPH272fEJCApKTk+XzJpMJNpsNZWVlHr1EpaWlyMzMlMucOnWqybVOnz6N+Pj4NtW3PTBlRkREFHg+B0RHjx5tj3oAcA1kPnDgAK677rpmz589exaFhYVISEgAAAwZMgR6vR4bNmzApEmTAADFxcXYu3cvXn31VQBARkYGzGYztm/fjmHDhgEAtm3bBrPZLAdNasKNXYmIiAKvza2uxWLBF198gQMHDvj82Tlz5mDz5s04evQotm3bhttvvx0WiwXTpk1DZWUl5syZg7y8PBw7dgybNm3CzTffjNjYWHk2myiKmDFjBmbPno1vvvkGu3fvxt13343U1FR51tmAAQOQlZWFmTNnIj8/H/n5+Zg5cybGjx/f4gwzJXGWGRERUeD53EM0adIkXH/99Xj00UdRXV2NoUOH4tixY5AkCatWrcJtt93m9bWKiopw11134cyZM+jWrRvS09ORn5+P5ORkVFdXY8+ePVi2bBnKy8uRkJCAG264AZ9++ikiIiLkayxcuBA6nQ6TJk2SF2ZcunSpx3pGK1euxKxZs+TZaBMmTMCiRYt8vfWAsNq5MCMREVGgCZIkSb58wGQyYd26dRg8eDA+/vhjPPfcc/j555/x0Ucf4f333292naLOwGKxQBRFmM1mREZGttv3vLPpV7yaewiThnbHq7cPbrfvISIiCgbett8+d0OYzWZER0cDAHJzc3HbbbchLCwMN910U4uDocl7nGVGREQUeD4HRElJScjLy0NVVRVyc3PlNFRZWRlCQkL8XsFgw0HVREREgefzGKKcnBxMnToVXbp0QXJyMkaMGAEA+P7775Gamurv+gUdbu5KREQUeD4HRA8//DCGDRuGwsJCjB49GhqNq+Hu1asXXnzxRb9XMNhwlhkREVHg+RwQAcDQoUMxdOhQAIDD4cCePXuQmZnZZAsN8p2Vu90TEREFnM+tbk5ODpYsWQLAFQwNHz4cV111FZKSkrBp0yZ/1y/ocKVqIiKiwPO51f3ss88weLBrOviaNWtw9OhRHDx4EDk5OXjmmWf8XsFgU7+5K1NmREREgeJzQHTmzBmYTCYAwNq1a3HHHXegb9++mDFjBvbs2eP3CgYbzjIjIiIKPJ9b3fj4eOzfvx8OhwO5ubnyFhnnz5/3WB2aWkdeqZqDqomIiALG50HVf/jDHzBp0iQkJCRAEASMHj0agGvD1P79+/u9gsGGPURERESB53NANG/ePKSkpKCwsBB33HEHjEYjAECr1eLpp5/2ewWDTf0YIgZEREREgdKqafe33347AKCmpkY+Nm3aNP/UKMjVzzJjyoyIiChQfO6GcDgc+Otf/4pLLrkEXbp0wZEjRwAAzz77rDwdn1qP6xAREREFns+t7ksvvYSlS5fi1VdfhcFgkI+npqbigw8+8GvlghFTZkRERIHnc6u7bNkyvP/++5g6darHrLLLL78cBw8e9GvlghFTZkRERIHnc0B04sQJXHbZZU2OO51O2O12v1QqmHGWGRERUeD53OoOGjQIP/zwQ5Pj//znP3HllVf6pVLBSpIk2BgQERERBZzPs8yee+45ZGdn48SJE3A6nfj8889x6NAhLFu2DP/+97/bo45Bw907BHDrDiIiokDyuRvi5ptvxqeffoq1a9dCEAT85S9/wYEDB7BmzRp5kUZqnYYBkUHLHiIiIqJA8amHyOFwYMuWLRg2bBg2b97cXnUKWu4B1YIA6LWCwrUhIiIKHj51Q2i1WowdOxbl5eXtVZ+g1nANIkFgQERERBQoPudlUlNT5cUYyb/qZ5hx/BAREVEgtWphxjlz5uDf//43iouLYbFYPB7UevVrEHH8EBERUSD5PMssKysLADBhwgSPtI4kSRAEAQ6Hw3+1CzJcpZqIiEgZPgdE3377Lce3tJP6MURMmREREQWSzwHRiBEj2qEaBDBlRkREpBSvW97z58/jkUcewSWXXIK4uDhMmTIFZ86cac+6BR1u20FERKQMr1ve5557DkuXLsVNN92EO++8Exs2bMBDDz3UnnULOpxlRkREpAyvU2aff/45lixZgjvvvBMAcPfdd+Oaa66Bw+Hw2PWeWs9qr0uZcVA1ERFRQHnd8hYWFuK6666T3w8bNgw6nQ4nT55sl4oFI6bMiIiIlOF1y+twOGAwGDyO6XQ61NbW+r1SwYopMyIiImV4nTKTJAnTp0+H0WiUj9XU1ODBBx9EeHi4fOzzzz/3bw2DCGeZERERKcPrgGjatGlNjt19991+rUywk9ch4hgiIiKigPI6IPrwww/bsx4EpsyIiIiUwq4IFWHKjIiISBlseVWEPURERETKYECkIhxDREREpAy2vCrClBkREZEy2PKqCFNmREREymBApCJcqZqIiEgZbHlVxFbLvcyIiIiUwJZXRZgyIyIiUgYDIhWRZ5kxZUZERBRQbHlVhLPMiIiIlMGWV0XklJmeKTMiIqJAYkCkIpxlRkREpAy2vCpitTNlRkREpAS2vCrClBkREZEyGBCphCRJTJkREREpRNGWd968eRAEweNhMpnk85IkYd68eUhMTERoaChGjBiBffv2eVzDarXiscceQ2xsLMLDwzFhwgQUFRV5lCkrK0N2djZEUYQoisjOzkZ5eXlA7tFbNodTfs2AiIiIKLAUb3kHDRqE4uJi+bFnzx753Kuvvoo333wTixYtwo4dO2AymTB69GhUVFTIZXJycrB69WqsWrUKW7ZsQWVlJcaPHw+HwyGXmTJlCgoKCpCbm4vc3FwUFBQgOzs7oPd5Me7eIYALMxIREQWaTvEK6HQevUJukiThrbfewjPPPIOJEycCAD766CPEx8fj448/xgMPPACz2YwlS5Zg+fLlGDVqFABgxYoVSEpKwsaNGzF27FgcOHAAubm5yM/PR1paGgBg8eLFyMjIwKFDh9CvX7/A3ewFuBdlFARArxUUrg0REVFwUbyH6PDhw0hMTETPnj1x55134siRIwCAo0ePoqSkBGPGjJHLGo1GDB8+HFu3bgUA7Nq1C3a73aNMYmIiUlJS5DJ5eXkQRVEOhgAgPT0doijKZZpjtVphsVg8Hu2p4aKMgsCAiIiIKJAUDYjS0tKwbNkyrFu3DosXL0ZJSQkyMzNx9uxZlJSUAADi4+M9PhMfHy+fKykpgcFgQFRU1AXLxMXFNfnuuLg4uUxzFixYII85EkURSUlJbbrXi+E+ZkRERMpRNCAaN24cbrvtNqSmpmLUqFH46quvALhSY26Ne0skSbpoD0rjMs2Vv9h15s6dC7PZLD8KCwu9uqfW4j5mREREylFV6xseHo7U1FQcPnxYHlfUuBentLRU7jUymUyw2WwoKyu7YJlTp041+a7Tp0836X1qyGg0IjIy0uPRnuSUmV5VfxIiIqKgoKrW12q14sCBA0hISEDPnj1hMpmwYcMG+bzNZsPmzZuRmZkJABgyZAj0er1HmeLiYuzdu1cuk5GRAbPZjO3bt8tltm3bBrPZLJdRA6bMiIiIlKPoLLM5c+bg5ptvRo8ePVBaWooXX3wRFosF06ZNgyAIyMnJwfz589GnTx/06dMH8+fPR1hYGKZMmQIAEEURM2bMwOzZsxETE4Po6GjMmTNHTsEBwIABA5CVlYWZM2fivffeAwDcf//9GD9+vGpmmAHcx4yIiEhJigZERUVFuOuuu3DmzBl069YN6enpyM/PR3JyMgDgySefRHV1NR5++GGUlZUhLS0N69evR0REhHyNhQsXQqfTYdKkSaiursbIkSOxdOlSaLX1PS0rV67ErFmz5NloEyZMwKJFiwJ7sxfh3sfMwICIiIgo4ARJkiSlK9ERWCwWiKIIs9ncLuOJ1vx8Eo99shvpvaKx6v4Mv1+fiIgoGHnbfrM7QiU4hoiIiEg5DIhUouHCjERERBRYbH1VQl6HSM8eIiIiokBjQKQSnGVGRESkHLa+KsGUGRERkXLY+qoEB1UTEREphwGRStSPIeKfhIiIKNDY+qoEU2ZERETKYeurEkyZERERKYcBkUpwlhkREZFy2PqqhHsvM44hIiIiCjy2virBlBkREZFyGBCpBAdVExERKYetr0pwDBEREZFy2PqqBPcyIyIiUg4DIpVgyoyIiEg5bH1VgikzIiIi5bD1VQnOMiMiIlIOAyKV4DpEREREymHrqxJMmRERESmHra8KSJIEm4MpMyIiIqUwIFIBu0OCJLleM2VGREQUeGx9VcA95R5gyoyIiEgJbH1VwD1+CAAMWv5JiIiIAo2trwo0HFAtCILCtSEiIgo+DIhUQJ5yz3QZERGRItgCq4DcQ8R9zIiIiBTBgEgFuAYRERGRstgCqwBTZkRERMpiC6wC3MeMiIhIWQyIVKB+DBH/HEREREpgC6wC7oUZmTIjIiJSBltgFbDamTIjIiJSEgMiFeAsMyIiImWxBVYBOWXGdYiIiIgUwYBIBdhDREREpCy2wCpQP4aIfw4iIiIlsAVWgfpZZkyZERERKYEBkQq4U2YG9hAREREpgi2wCnAdIiIiImWxBVYBeQwRV6omIiJSBFtgFeBeZkRERMpiQKQCTJkREREpiy2wCnAdIiIiImWxBVaB+jFETJkREREpgQGRCjBlRkREpCy2wCrAlBkREZGy2AKrAGeZERERKYsBkQrU73bPPwcREZES2AKrADd3JSIiUpZqWuAFCxZAEATk5OTIx6ZPnw5BEDwe6enpHp+zWq147LHHEBsbi/DwcEyYMAFFRUUeZcrKypCdnQ1RFCGKIrKzs1FeXh6Q+/IGU2ZERETKUkVAtGPHDrz//vu4/PLLm5zLyspCcXGx/Fi7dq3H+ZycHKxevRqrVq3Cli1bUFlZifHjx8PhcMhlpkyZgoKCAuTm5iI3NxcFBQXIzs5u9/vyFmeZERERKUundAUqKysxdepULF68GC+++GKT80ajESaTqdnPms1mLFmyBMuXL8eoUaMAACtWrEBSUhI2btyIsWPH4sCBA8jNzUV+fj7S0tIAAIsXL0ZGRgYOHTqEfv36NXttq9UKq9Uqv7dYLG291WZJklTfQ8QxRERERIpQvAV+5JFHcNNNN8kBTWObNm1CXFwc+vbti5kzZ6K0tFQ+t2vXLtjtdowZM0Y+lpiYiJSUFGzduhUAkJeXB1EU5WAIANLT0yGKolymOQsWLJBTbKIoIikpqa232iy7Q4IkuV4zZUZERKQMRQOiVatW4aeffsKCBQuaPT9u3DisXLkS3377Ld544w3s2LEDN954o9xzU1JSAoPBgKioKI/PxcfHo6SkRC4TFxfX5NpxcXFymebMnTsXZrNZfhQWFrb2Ni/InS4DmDIjIiJSimIps8LCQvzxj3/E+vXrERIS0myZyZMny69TUlIwdOhQJCcn46uvvsLEiRNbvLYkSRAEQX7f8HVLZRozGo0wGo3e3EqbuNNlAAMiIiIipSjWAu/atQulpaUYMmQIdDoddDodNm/ejLfffhs6nc5jULRbQkICkpOTcfjwYQCAyWSCzWZDWVmZR7nS0lLEx8fLZU6dOtXkWqdPn5bLKMkdEBl0mgsGaERERNR+FAuIRo4ciT179qCgoEB+DB06FFOnTkVBQQG02qbjac6ePYvCwkIkJCQAAIYMGQK9Xo8NGzbIZYqLi7F3715kZmYCADIyMmA2m7F9+3a5zLZt22A2m+UySrLaOcOMiIhIaYqlzCIiIpCSkuJxLDw8HDExMUhJSUFlZSXmzZuH2267DQkJCTh27Bj+53/+B7Gxsfj9738PABBFETNmzMDs2bMRExOD6OhozJkzB6mpqfIg7QEDBiArKwszZ87Ee++9BwC4//77MX78+BZnmAUS1yAiIiJSnuLT7lui1WqxZ88eLFu2DOXl5UhISMANN9yATz/9FBEREXK5hQsXjtDq9QAAD8BJREFUQqfTYdKkSaiursbIkSOxdOlSjx6mlStXYtasWfJstAkTJmDRokUBv6fmcGNXIiIi5QmS5J70TRdisVggiiLMZjMiIyP9dt3tR89h0nt56NUtHN/OHuG36xIREZH37Te7JRRWv0o1U2ZERERKYUCkMG7sSkREpDy2wgrjGCIiIiLlsRVWmJwy0zNlRkREpBQGRApjDxEREZHy2AorjAszEhERKY+tsMK4MCMREZHyGBApTA6I9PxTEBERKYWtsMLq1yHin4KIiEgpbIUVVr8OEVNmRERESmFApDDOMiMiIlIeW2GF1a9DxD8FERGRUtgKK4yzzIiIiJTHgEhh3MuMiIhIeWyFFcZZZkRERMpjK6wwrUaAQafhXmZEREQK0ildgWD3wbSrla4CERFR0GMPEREREQU9BkREREQU9BgQERERUdBjQERERERBjwERERERBT0GRERERBT0GBARERFR0GNAREREREGPAREREREFPQZEREREFPQYEBEREVHQY0BEREREQY8BEREREQU9BkREREQU9HRKV6CjkCQJAGCxWBSuCREREXnL3W672/GWMCDyUkVFBQAgKSlJ4ZoQERGRryoqKiCKYovnBeliIRMBAJxOJ06ePImIiAgIguC361osFiQlJaGwsBCRkZF+u25nxN/KN/y9vMffynv8rbzH38p77flbSZKEiooKJCYmQqNpeaQQe4i8pNFo0L1793a7fmRkJP+D8RJ/K9/w9/Iefyvv8bfyHn8r77XXb3WhniE3DqomIiKioMeAiIiIiIKedt68efOUrkSw02q1GDFiBHQ6ZjAvhr+Vb/h7eY+/lff4W3mPv5X3lP6tOKiaiIiIgh5TZkRERBT0GBARERFR0GNAREREREGPAREREREFPQZECnvnnXfQs2dPhISEYMiQIfjhhx+UrpLqzJs3D4IgeDxMJpPS1VKF77//HjfffDMSExMhCAK++OILj/OSJGHevHlITExEaGgoRowYgX379ilUW2Vd7LeaPn16k39n6enpCtVWWQsWLMDVV1+NiIgIxMXF4dZbb8WhQ4c8yvDflos3vxX/bbm8++67uPzyy+XFFzMyMvD111/L55X+N8WASEGffvopcnJy8Mwzz2D37t247rrrMG7cOBw/flzpqqnOoEGDUFxcLD/27NmjdJVUoaqqCoMHD8aiRYuaPf/qq6/izTffxKJFi7Bjxw6YTCaMHj1a3psvmFzstwKArKwsj39na9euDWAN1WPz5s145JFHkJ+fjw0bNqC2thZjxoxBVVWVXIb/tly8+a0A/tsCgO7du+Pll1/Gzp07sXPnTtx444245ZZb5KBH8X9TEilm2LBh0oMPPuhxrH///tLTTz+tUI3U6bnnnpMGDx6sdDVUD4C0evVq+b3T6ZRMJpP08ssvy8dqamokURSlf/zjH0pUUTUa/1aSJEnTpk2TbrnlFoVqpG6lpaUSAGnz5s2SJPHf1oU0/q0kif+2LiQqKkr64IMPVPFvij1ECrHZbNi1axfGjBnjcXzMmDHYunWrQrVSr8OHD///9u4/Jur6jwP484TjJA5UfnjcUQJiUgrhEGNHximmBNVgbqlJiJEWJQxGVo7J+KOmq60/yhzD1gAX9mPRD1fkj+VBiUzEBllSsMQkx0kgMg8XP87X9w/zUxd3qOTXu7znY2Pc5/1+f973+rz3Grz4fO7DBwaDAZGRkVizZg1OnTrl6pDcXldXFywWi12OaTQamEwm5pgT9fX1mDlzJubOnYuNGzeit7fX1SG5hcHBQQBAYGAgAObWRP65Vlcxt+zZbDZ88MEHGBoagtFodIucYkHkIn19fbDZbNDpdHbtOp0OFovFRVG5p8TEROzevRv79+/HO++8A4vFgqSkJPT397s6NLd2NY+YY9cnLS0NNTU1OHToEN544w0cO3YMKSkpGB4ednVoLiUiKC4uxuLFixETEwOAueWMo7UCmFt/d+LECWi1Wmg0GuTl5eHTTz/FvHnz3CKn+L/EXUylUtlti8i4Nk+XlpamvI6NjYXRaERUVBSqq6tRXFzswsj+G5hj12f16tXK65iYGCQkJCA8PBxffvklVq5c6cLIXCs/Px/ff/89Dh8+PK6PuWXP2Voxt/4SHR2N1tZWXLhwAbW1tcjJyUFDQ4PS78qc4hkiFwkODoaXl9e4yre3t3dchUz2/Pz8EBsbi87OTleH4tau3onHHJscvV6P8PBwj86zgoIC7N27F2azGXfeeafSztwaz9laOeLJueXj44M5c+YgISEB27dvR1xcHN588023yCkWRC7i4+ODhQsX4uDBg3btBw8eRFJSkoui+m8YHh5Ge3s79Hq9q0Nxa5GRkQgNDbXLsZGRETQ0NDDHrkN/fz+6u7s9Ms9EBPn5+fjkk09w6NAhREZG2vUzt/5yrbVyxJNz659EBMPDw26RU3zavQsFBASgtLQUYWFhmDp1KrZt2waz2YzKykpMnz7d1eG5jc2bN0Oj0UBE0NHRgfz8fHR0dKCiosLj18lqteLkyZOwWCyoqKhAYmIifH19MTIygunTp8Nms2H79u2Ijo6GzWbDCy+8gLNnz2LXrl3QaDSuDv+WmmitvLy8UFJSAn9/f9hsNrS2tmLDhg0YHR3F22+/7XFrtWnTJtTU1ODjjz+GwWCA1WqF1WqFl5cX1Go1VCoVc+tP11orq9XK3PpTSUkJfHx8ICLo7u7GW2+9hffeew+vv/46oqKiXJ9Tt+ReNnJq586dEh4eLj4+PhIfH293qyZdsXr1atHr9aJWq8VgMMjKlSvlxx9/dHVYbsFsNguAcV85OTkicuX26LKyMgkNDRWNRiPJycly4sQJ1wbtIhOt1aVLl2TFihUSEhIiarVaZs2aJTk5OXLmzBlXh+0SjtYJgFRWVipjmFtXXGutmFt/yc3NVX7fhYSEyLJly+TAgQNKv6tzSiUi8v8vu4iIiIjcFz9DRERERB6PBRERERF5PBZERERE5PFYEBEREZHHY0FEREREHo8FEREREXk8FkRERETk8VgQERERkcdjQUREHq+qqsptHwNTVVUFlUoFlUqFoqKiCcdGREQoYy9cuHCLIiS6PbAgIqIbtn79euUXr1qtxuzZs7F582YMDQ25OrTbUkBAAHp6evDKK69MOO7YsWOora29RVER3V68XR0AEf03Pfzww6isrMTo6Ci+/fZbbNiwAUNDQygvL5/UfCMjI/Dx8bnJUd4eVCoVQkNDrzkuJCQEgYGBtyAiotsPzxAR0aRoNBqEhobirrvuwtq1a5GVlYXPPvtM6W9oaMD9998PjUYDvV6PLVu2YGxsTOlfsmQJ8vPzUVxcjODgYCxfvhwAMDg4iGeeeQYzZ85EQEAAUlJS0NbW5jQOo9GILVu22LX9/vvvUKvVMJvNAICBgQGsW7cOM2bMwB133IG0tDR0dnY6nXP9+vXIzMy0aysqKsKSJUvs4i8oKEBRURFmzJgBnU6HXbt2YWhoCE899RT8/f0RFRWFr776ym6ekydPIj09HVqtFjqdDtnZ2ejr63MaCxHdGiyIiOim8PX1xejoKADg7NmzSE9Px6JFi9DW1oby8nK8++67ePXVV+32qa6uhre3NxobG1FRUQERwSOPPAKLxYK6ujocP34c8fHxWLZsGc6fP+/wfbOysvD+++/j78+p/vDDD6HT6WAymQBcKXBaWlqwd+9eNDU1QUSQnp6uxDtZ1dXVCA4ORnNzMwoKCvDcc8/h8ccfR1JSEr777jukpqYiOzsbly5dAgD09PTAZDJhwYIFaGlpwb59+3Du3DmsWrXqX8VBRDeBEBHdoJycHMnIyFC2jx49KkFBQbJq1SoRESkpKZHo6Gi5fPmyMmbnzp2i1WrFZrOJiIjJZJIFCxbYzfv1119LQECA/PHHH3btUVFRUlFR4TCW3t5e8fb2lm+++UZpMxqN8uKLL4qISEdHhwCQxsZGpb+vr098fX3lo48+EhGRyspKmTZtmtPjExEpLCwUk8mkbJtMJlm8eLGyPTY2Jn5+fpKdna209fT0CABpamoSEZHS0lJZsWKF3bzd3d0CQH7++WeHx/fP2K7FbDYLABkYGLjufYhIhGeIiGhSvvjiC2i1WkydOhVGoxHJycnYsWMHAKC9vR1GoxEqlUoZ/8ADD8BqteK3335T2hISEuzmPH78OKxWK4KCgqDVapWvrq4u/PLLLw7jCAkJwfLly1FTUwMA6OrqQlNTE7KyspRYvL29kZiYqOwTFBSE6OhotLe3/6s1uO+++5TXXl5eCAoKQmxsrNKm0+kAAL29vcrxmc1mu2O75557AMDp8Tmybds2uznOnDnzr46DiPihaiKapKVLl6K8vBxqtRoGgwFqtVrpExG7YuhqGwC7dj8/P7sxly9fhl6vR319/bj3m+i2+KysLBQWFmLHjh3Ys2cP5s+fj7i4OLv3/SdHMV41ZcqUcfs5urz292MGoNx19/ftq8d19ftjjz2G1157bdxcer3e2eGNk5eXZ3eZzWAwXPe+ROQYCyIimhQ/Pz/MmTPHYd+8efNQW1trV3QcOXIE/v7+CAsLczpnfHw8LBYLvL29ERERcd2xZGZm4tlnn8W+ffuwZ88eZGdn28UyNjaGo0ePIikpCQDQ39+Pjo4O3HvvvQ7nCwkJwQ8//GDX1traOq4AulHx8fGora1FREQEvL0n/+M3MDCQd5MR3WS8ZEZEN93zzz+P7u5uFBQU4KeffsLnn3+OsrIyFBcXY8oU5z92HnroIRiNRmRmZmL//v04ffo0jhw5gq1bt6KlpcXpfn5+fsjIyEBpaSna29uxdu1ape/uu+9GRkYGNm7ciMOHD6OtrQ1PPvkkwsLCkJGR4XC+lJQUtLS0YPfu3ejs7ERZWdm4AmkyNm3ahPPnz+OJJ55Ac3MzTp06hQMHDiA3Nxc2m+1fz09Ek8eCiIhuurCwMNTV1aG5uRlxcXHIy8vD008/ja1bt064n0qlQl1dHZKTk5Gbm4u5c+dizZo1OH36tPJ5HGeysrLQ1taGBx98ELNmzbLrq6ysxMKFC/Hoo4/CaDRCRFBXV+f0jE9qaipKS0vx0ksvYdGiRbh48SLWrVt3Y4vggMFgQGNjI2w2G1JTUxETE4PCwkJMmzZtwkKRiP7/VOLsAjsREblcVVUVioqKrvtRHPX19Vi6dCkGBgbc9nEkRO6If5IQEbm5wcFBaLVavPzyyxOOmz9/PtLS0m5RVES3F54hIiJyYxcvXsS5c+cAXLnTLjg42OnYX3/9Vbkbbvbs2bwMR3QDWBARERGRx+OfD0REROTxWBARERGRx2NBRERERB6PBRERERF5PBZERERE5PFYEBEREZHHY0FEREREHo8FEREREXm8/wFpcqlUn5A27gAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fd99d430518>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.25\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  92%|█████████████████████████████████████▊   |  ETA: 0:00:01\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.3043478260869565, 2.608695652173913, 3.9130434782608696, 5.217391304347826, 6.521739130434783, 7.82608695652174, 9.130434782608697, 10.434782608695654, 11.739130434782611  …  1162.1739130434953, 1163.4782608695823, 1164.7826086956693, 1166.0869565217563, 1167.3913043478433, 1168.6956521739303, 1170.0000000000173, 1171.3043478261043, 1172.6086956521913, 1173.9130434782783], [0.0, 0.0003333333333333334, 0.0006666666666666668, 0.001, 0.0013333333333333335, 0.001666666666666667, 0.002, 0.002333333333333334, 0.002666666666666667, 0.003000000000000001  …  0.29700000000000437, 0.2973333333333377, 0.2976666666666711, 0.29800000000000443, 0.2983333333333377, 0.2986666666666711, 0.29900000000000443, 0.2993333333333378, 0.29966666666667113, 0.30000000000000443], [0.0, 6.457797259902995e-14, 1.0732155904709849e-13, 1.02695629777827e-13, 4.089321474035994e-14, 1.1435297153639115e-13, 1.5913196686293915e-14, -1.757853122323165e-14, -3.848773152033877e-14, -7.716050021144839e-14  …  2.2694808995045914e-12, 2.347936659911436e-12, 2.262079412673757e-12, 2.3148150063434518e-12, 2.317035452392702e-12, 2.2470914018413172e-12, 2.277622535018509e-12, 2.331468351712829e-12, 2.34886184576529e-12, 2.28853972809399e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0014999999999999998, 0.0018, 0.0021, 0.0024, 0.0026999999999999997  …  0.1473, 0.14759999999999998, 0.14789999999999998, 0.1482, 0.1485, 0.1488, 0.14909999999999998, 0.14939999999999998, 0.1497, 0.15], [1.0, 0.8473854951126452, 0.8462092342331516, 0.8451037660678832, 0.8440371012768771, 0.8429969988089978, 0.8419772426652149, 0.8409741648183925, 0.8399853808309229, 0.8390092300925277  …  0.7500000000049292, 0.7500000000079236, 0.7500000000170076, 0.7500000000110967, 0.7499999999966319, 0.7499999999946575, 0.7499999999978237, 0.7499999999976992, 0.7500000000042182, 0.750000000013039], [0.0, 3.9437933592323816e-83, 4.603555001403452e-81, 2.70354864215528e-79, 1.0642659648039119e-77, 3.1578455633901926e-76, 7.53088708357633e-75, 1.503290931782205e-73, 2.5830795377298624e-72, 3.899621457853146e-71  …  1.0000000000028153, 1.0000000000033227, 1.0000000000040175, 1.0000000000041014, 1.000000000003996, 1.000000000003442, 1.0000000000033353, 1.0000000000039075, 1.000000000004088, 1.0000000000038094], [1.0, 0.9999999999995401, 0.9999999999994231, 1.0000000000004607, 1.0000000000007163, 1.0000000000014024, 1.000000000002613, 1.0000000000025906, 1.0000000000031244, 1.0000000000026437  …  1.00000000000419, 1.0000000000026497, 1.0000000000031328, 1.000000000004162, 1.000000000003787, 1.0000000000040503, 1.0000000000046885, 1.0000000000045228, 1.0000000000035403, 1.0000000000038094])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 1, 'tertiary low-sal water flood')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1.0.-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"tertiary low-sal water flood\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PP7TrYKV+9frn2lZQLknKSIvTwiuHaWBSlMmVAQA6imkBKCEhQcHBwS1aZg4dOtSiBefHcnJydPPNN+u1117TxIkTm72WnJzs8TFtNptsNpuHnwD+xuky9Oz6Pfrj6l2qc7rUzRai/7l4kK4dnaagIG53AYA/MW0UmNVqVUZGhnJzc5ttz83NVVZW1gnft3z5ct1www16+eWXdemll7Z4PTMzs8Ux16xZc9JjAgVlNfqvpZ/o96u+UZ3TpQsGJSp33nmakdmX8AMAfsjUW2Dz5s3TjBkzNGrUKGVmZmrp0qXKz8/XrFmzJDXemiosLNSLL74oqTH8XH/99Xr88cc1ZswYd0tPeHi4YmIaV9W+6667dN555+mRRx7R1KlT9dZbb+m9997T+vXrzfmQ8GqGYejVLQV66B9fq7rOqUhrsO776RBln5NKJ2cA8GOmBqDs7GyVlpbqoYceUlFRkYYOHapVq1YpLS1NklRUVNRsTqBnnnlGDQ0Nuv3223X77be7t8+cOVPLli2TJGVlZemVV17Rr3/9a913330aMGCAcnJyNHr06C79bPB+lbX1mr/yS/1j+wFJ0rl94/XHq4erT/cIkysDAHQ2U+cB8lbMA+T/viys0B0vf6Z9pTUKDrLo7smDdOt5/RXM7S4A8Fk+MQ8QYAbDMPR/n+zXb/+5Q3VOl1JiwvSXa0YqIy3O7NIAAF2IAISAUVvv1L1vfKGVWwslSRMHJ+mPV5+l2AiryZUBALoaAQgBoajiqP77//L0+fcVCg6y6N4pZ+jm/+hHR2cACFAEIPi9LfvKNOvvn6mkyqHYiFA9ec1IjU1PMLssAICJCEDwa69tKdD8lV+o3mnojOQo/fX6UUqNZ5QXAAQ6AhD8kmEYWrz2W/35vV2SpEuH9dQfrj6LdbwAAJIIQPBD9U6Xfr3yS+VsKZAk/eL8Afp/Fw2ivw8AwI0ABL9S7WjQ7S9/pg93HlaQRXpw6lDNGJNmdlkAAC9DAILfKK+p08znPtX27ysUFhqkv/zXSE0acvKFdQEAgYkABL9QWuXQdc9+qh1FdsVFhOq5G87RiD5MbggAaB0BCD7vUGWtrv3rJu0+VKWEbja9dMtoDUqOMrssAIAXIwDBpxVVHNW1f92kPSXVSoq26eWfj9GAxG5mlwUA8HIEIPis4opaZT/zifLLatQrNlwv/3y00rpHml0WAMAHEIDgkxr7/GxSflmN+sRH6OWfj1bvOCY4BAC0TZDZBQCestfWa+bzn+rbQ1XqGROml24h/AAAPEMAgk85WufULcu26MtCu+Ijrfq/m0eztAUAwGMEIPiMugaXbnspT5/uK1OULUQv3nSu0nvQ4RkA4DkCEHyCYRhasPILfbjzsMJCg/TcjedoaK8Ys8sCAPgoAhB8wpJ13+m1vO8VZJGWXJuhc/rGm10SAMCHEYDg9VZ9UaRH390pSbr/sjN1wRk9TK4IAODrCEDwatsKyjU3Z5sk6YasvpqZ1dfcggAAfoEABK/1/ZEa3fLCFjkaXLpgUKJ+felgs0sCAPgJAhC8Um29U7P+nqeSKofOSI7SX64ZqZBgLlcAQMfgGwVe6Tf//FpfFtoVGxGqv80cpW42Ji0HAHQcAhC8zsqt3+ulTfmyWKRF2WczyzMAoMMRgOBVdh2s1Pw3vpQk3XlBus4fxIgvAEDHIwDBa1Q5GjTr73k6Wu/U2PTuumviQLNLAgD4KQIQvMaClV9oz+FqJUeH6fH/HKHgIIvZJQEA/BQBCF7h7e0H9Na2AwoOsuiJa0YooZvN7JIAAH6MAATTHbTX6r43G/v93H5BukaxzAUAoJMRgGAqwzD0Pys+V8XReg3tFa07J6SbXRIAIAAQgGCq5Z8W6MOdh2UNCdKfp5+tUCY7BAB0Ab5tYJr80hr99l9fS5J+ddEg/SQpyuSKAACBggAEU7hchu5+bbtq6pw6t1+8bhrbz+ySAAABhAAEU7yyuUCf7itTpDVYj109XEEMeQcAdCECELpcaZVDj7z7jSTpl5MHKTWepS4AAF2LAIQu98i736jiaL0G94zW9ZlpZpcDAAhABCB0qS37yvTqlu8lSb+dNlQhjPoCAJiAbx90mQanS78+NuFh9qhUZaTFmVwRACBQEYDQZZZt2KdviisVGxGq/5lyhtnlAAACGAEIXeKgvVZ/zt0lSbrn4jMUH2k1uSIAQCAjAKFLPLZmp6rrnBrRJ1bTR6WaXQ4AIMARgNDpdh+s1Ot5jR2f7/vpEOb8AQCYjgCETvfo6p1yGdJFZyZpZB86PgMAzEcAQqfK21+m3K8PKsgi/b+LBpldDgAAkghA6ESGYeiRd3ZKkqaPSlV6DxY7BQB4BwIQOs373xzSp/vKZAsJ0pyJA80uBwAANwIQOoXTZejRdxtbf24Y21fJMWEmVwQAwHEEIHSKlVsLtfNgpaLDQvSL8elmlwMAQDMEIHQ4p8vQE+/vliT94oJ0xUSEmlwRAADNEYDQ4d79slj7SmsUGxGqGWNY7R0A4H0IQOhQhmFoybpvJUkzM/sq0hZickUAALREAEKHWv9tib4stCs8NFgzs/qaXQ4AAK0iAKFDLfnwO0nSf56byoKnAACv5VEAamho0IMPPqiCgoLOqgc+bFtBuTZ8V6qQIIt+Pq6/2eUAAHBCHgWgkJAQ/eEPf5DT6eyseuDDnj7W+jNtRC+lxIabXA0AACfm8S2wiRMn6sMPP+yEUuDLvj1UpdVfF0uSZo2n9QcA4N08HqIzZcoU3Xvvvfryyy+VkZGhyMjIZq9ffvnlHVYcfMfSj76TYUiThySx5hcAwOtZDMMwPHlDUNCJG40sFotf3B6z2+2KiYlRRUWFoqOjzS7H65VWOZS58H3VOV164xdZGtknzuySAAAByJPvb49bgFwuV7sLg396Pe971TldGp4aS/gBAPgE04fBP/XUU+rXr5/CwsKUkZGhjz/++IT7FhUV6ZprrtGgQYMUFBSkOXPmtNhn2bJlslgsLR61tbWd+TEClstl6OVP8yVJ147uY3I1AAC0TbsC0Lp163TZZZcpPT1dP/nJT3T55ZefNLicSE5OjubMmaMFCxZo69atGjdunKZMmaL8/PxW93c4HEpMTNSCBQs0fPjwEx43OjpaRUVFzR5hYaxG3hn+/V2J9pfWKCosRJedlWJ2OQAAtInHAejvf/+7Jk6cqIiICM2ePVt33HGHwsPDdeGFF+rll1/26Fh/+tOfdPPNN+uWW27R4MGDtWjRIqWmpmrJkiWt7t+3b189/vjjuv766xUTE3PC41osFiUnJzd7oHO89EljWL1qZG+FW4NNrgYAgLbxOAD97ne/06OPPqqcnBzNnj1bd911l3JycvTwww/rN7/5TZuPU1dXp7y8PE2ePLnZ9smTJ2vDhg2eltVMVVWV0tLS1Lt3b/30pz/V1q1bT7q/w+GQ3W5v9sCpHbTXKnfHQUnSNdz+AgD4EI8D0J49e3TZZZe12H755Zdr7969bT5OSUmJnE6nkpKSmm1PSkpScXGxp2W5nXHGGVq2bJnefvttLV++XGFhYRo7dqx27959wvcsXLhQMTEx7kdqamq7/34gydlcIKfL0Ll94zUwiaHvAADf4XEASk1N1dq1a1tsX7t2bbuCg8Viafa7YRgttnlizJgxuu666zR8+HCNGzdOr776qgYOHKi//OUvJ3zPvffeq4qKCveDpT5OrcHp0vKmzs9jaP0BAPgWj4fB//KXv9Ts2bO1bds2ZWVlyWKxaP369Vq2bJkef/zxNh8nISFBwcHBLVp7Dh061KJV6HQEBQXpnHPOOWkLkM1mk81m67C/GQg+3HlYRRW1io+06uKh9LECAPgWjwPQbbfdpuTkZD322GN69dVXJUmDBw9WTk6Opk6d2ubjWK1WZWRkKDc3V1dccYV7e25urkfHORXDMLRt2zYNGzasw44J6aVN+yVJV2f0li2Ezs8AAN/icQCSpCuuuKJZaGmvefPmacaMGRo1apQyMzO1dOlS5efna9asWZIab00VFhbqxRdfdL9n27Ztkho7Oh8+fFjbtm2T1WrVkCFDJEkPPvigxowZo5/85Cey2+1avHixtm3bpieffPK060WjwvKj+nDXYUnSf53L7S8AgO/xOAD1799fmzdvVvfu3ZttLy8v18iRI7Vnz542Hys7O1ulpaV66KGHVFRUpKFDh2rVqlVKS0uT1Djx4Y/nBBoxYoT7eV5enl5++WWlpaVp37597jpuvfVWFRcXKyYmRiNGjNBHH32kc88919OPihN4e9sBGYY0pn+8+iZEnvoNAAB4mXatBVZcXKwePXo0237w4EH16dNHDoejQws0A2uBndyUxz/WjiK7Fl45jBYgAIDX6JS1wN5++23389WrVzebiNDpdGrt2rXq27ev59XCp+w+WKkdRXaFBls0hc7PAAAf1eYANG3aNEmNw9ZnzpzZ7LXQ0FD17dtXjz32WMdWB6/z9vYDkqTzfpKo2AirydUAANA+bQ5ATavA9+vXT5s3b1ZCQkKnFQXvZBiGOwBdfjbrfgEAfJfHnaA9me0Z/uXz7yu0v7RGYaFBmji44+ZqAgCgq3k8E/Ts2bO1ePHiFtufeOIJzZkzp0OKgndqav2ZODhJkbZ2zaAAAIBX8DgArVixQmPHjm2xPSsrS6+//nqHFAXv43QZ+ufnx25/Def2FwDAt3kcgEpLS5uNAGsSHR2tkpKSDikK3ufTvWU6aHcoOixE4wclml0OAACnxeMAlJ6ernfffbfF9nfeeUf9+/fvkKLgfZpuf108NJmlLwAAPs/jjhzz5s3THXfcocOHD2vChAmSGleCf+yxx7Ro0aIOLxDmq2tw6Z0viyRJlw/vZXI1AACcPo8D0E033SSHw6Hf/e53+s1vfiNJ6tu3r5YsWaLrr7++wwuE+dZ/e1jlNfVK6GZT5oDup34DAABerl1DeW677TbddtttOnz4sMLDw9WtW7eOrgteZM1XByVJlwxLVnCQxeRqAAA4fac1ljkxkc6w/s4wDH2w85AkMfcPAMBvtCsAvf7663r11VeVn5+vurq6Zq999tlnHVIYvMNXB+w6aHcowhqs0f3jzS4HAIAO4fEosMWLF+vGG29Ujx49tHXrVp177rnq3r279uzZoylTpnRGjTDR+980tv6MTU9g9BcAwG94HICeeuopLV26VE888YSsVqt+9atfKTc3V7Nnz1ZFRUVn1AgTNQWgCWf0MLkSAAA6jscBKD8/X1lZWZKk8PBwVVZWSpJmzJih5cuXd2x1MFVplUPbvy+XJF0wiAAEAPAfHgeg5ORklZaWSpLS0tL0ySefSGpcJNUwjI6tDqb6cOdhGYY0pGe0kmPCzC4HAIAO43EAmjBhgv7xj39Ikm6++WbNnTtXkyZNUnZ2tq644ooOLxDmeX8nt78AAP7J41FgS5culcvlkiTNmjVL8fHxWr9+vS677DLNmjWrwwuEOeqdLn2067Ak6QICEADAz7SpBejKK6+U3W6XJP3973+X0+l0vzZ9+nQtXrxYs2fPltVq7Zwq0eXy9h9RZW2D4iOtOjs11uxyAADoUG0KQP/85z9VXV0tSbrxxhsZ7RUAPjg2+uv8gYnM/gwA8DttugV2xhln6N5779UFF1wgwzD06quvKjo6utV9WQ/MPzQNf+f2FwDAH1mMNgzd2rBhg+bNm6fvvvtOZWVlioqKksXSslXAYrGorKysUwrtSna7XTExMaqoqDhh0PNnBWU1GvfoBwoOsuiz+yYpJjzU7JIAADglT76/29QClJWV5R7uHhQUpF27dqlHD1oG/FXT2l8ZaXGEHwCAX/J4GPzevXtZBNXPfbizcfQXw98BAP7K42HwaWlpnVEHvITTZejTvY23Mf8jPcHkagAA6BwetwDBv+0osqvK0aCosBAN7hl4/Z8AAIGBAIRmPtnTuMzJOX3jGf4OAPBbBCA003T769x+8SZXAgBA5/E4AD3wwAPav39/Z9QCk7lchj7dRwACAPg/jwPQP/7xDw0YMEAXXnihXn75ZdXW1nZGXTDB7kNVKq+pV3hosIb1ijG7HAAAOo3HASgvL0+fffaZzjrrLM2dO1c9e/bUbbfdps2bN3dGfehCn+5t7P+TkRan0Giuka8AACAASURBVGDujgIA/Fe7vuXOOuss/fnPf1ZhYaGee+45FRYWauzYsRo2bJgef/xx1grzUZ/Q/wcAECBO63/zXS6X6urq5HA4ZBiG4uPjtWTJEqWmpionJ6ejakQXMIzj8/+MJgABAPxcuwJQXl6e7rjjDvXs2VNz587ViBEjtGPHDq1bt07ffPON7r//fs2ePbuja0Un2ldao8OVDllDgjQ8NdbscgAA6FQeB6CzzjpLY8aM0d69e/Xss8+qoKBADz/8sNLT0937XH/99Tp8+HCHForOtenY/D9np8YqLDTY5GoAAOhcHi+FcfXVV+umm25Sr169TrhPYmKiXC7XaRWGrsXtLwBAIPGoBai+vl7PP/88nZz90CY6QAMAAohHASg0NFQOh0MWC0sk+JPvj9SosPyoQoIsykiLM7scAAA6ncd9gO6880498sgjamho6Ix6YIKm219De8UowurxXVEAAHyOx992mzZt0tq1a7VmzRoNGzZMkZGRzV5/4403Oqw4dI1Ne+j/AwAILB4HoNjYWF111VWdUQtM0rT+1+j+BCAAQGDwOAA9//zznVEHTHKkuk57S6olSRl9CEAAgMDQrokQGxoa9N577+mZZ55RZWWlJOnAgQOqqqrq0OLQ+b4obBzR17d7hGIiQk2uBgCAruFxC9D+/ft18cUXKz8/Xw6HQ5MmTVJUVJQeffRR1dbW6umnn+6MOtFJmgLQUFZ/BwAEEI9bgO666y6NGjVKR44cUXh4uHv7FVdcobVr13Zoceh8Xx1oDEDDCEAAgADicQvQ+vXr9e9//1tWq7XZ9rS0NBUWFnZYYegatAABAAKRxy1ALpdLTqezxfbvv/9eUVFRHVIUukZ5TZ0Kyo5KkoamEIAAAIHD4wA0adIkLVq0yP27xWJRVVWV7r//fl1yySUdWhw615eFdklSn3g6QAMAAovHt8D+/Oc/64ILLtCQIUNUW1ura665Rrt371ZCQoKWL1/eGTWik3xJ/x8AQIDyOAClpKRo27ZtWr58uT777DO5XC7dfPPNuvbaa5t1iob3a+r/c2avaJMrAQCga3kcgGpqahQREaGbbrpJN910U2fUhC7yZSEtQACAwORxH6AePXrouuuu0+rVq+VyuTqjJnSBiqP12l9aI4kO0ACAwONxAHrxxRflcDh0xRVXKCUlRXfddZc2b97cGbWhEzXN/9MrNlxxkdZT7A0AgH/xOABdeeWVeu2113Tw4EEtXLhQO3bsUFZWlgYOHKiHHnqoM2pEJ+D2FwAgkLVrLTBJioqK0o033qg1a9Zo+/btioyM1IMPPtiRtaETfXFsCPyw3gQgAEDgaXcAqq2t1auvvqpp06Zp5MiRKi0t1d13392RtaETfckM0ACAAObxKLA1a9bopZde0ptvvqng4GD97Gc/0+rVqzV+/PjOqA+doLK2XntLqiVJQ1MYAg8ACDweB6Bp06bp0ksv1QsvvKBLL71UoaHMIOxrvjrQePsrJSZM3bvZTK4GAICu53EAKi4uVnQ0rQa+jNtfAIBA53EfoOjoaDmdTq1YsUK//e1v9bvf/U5vvPFGqwuktsVTTz2lfv36KSwsTBkZGfr4449PuG9RUZGuueYaDRo0SEFBQZozZ06r+61YsUJDhgyRzWbTkCFDtHLlynbV5q++YAQYACDAeRyAvv32Ww0ePFjXX3+93njjDb3++uuaMWOGzjzzTH333XceHSsnJ0dz5szRggULtHXrVo0bN05TpkxRfn5+q/s7HA4lJiZqwYIFGj58eKv7bNy4UdnZ2ZoxY4a2b9+uGTNmaPr06dq0aZOnH9Vv0QIEAAh0FsMwDE/ecMkll8gwDL300kuKj4+XJJWWluq6665TUFCQ/vWvf7X5WKNHj9bIkSO1ZMkS97bBgwdr2rRpWrhw4Unfe/755+vss89utjK9JGVnZ8tut+udd95xb7v44osVFxd3wsVaHQ6HHA6H+3e73a7U1FRVVFT43e2+KkeDhj2wWoYhbV4wUYlR9AECAPgHu92umJiYNn1/e9wCtG7dOj366KPu8CNJ3bt318MPP6x169a1+Th1dXXKy8vT5MmTm22fPHmyNmzY4GlZbhs3bmxxzIsuuuikx1y4cKFiYmLcj9TU1Hb/fW+3o8guw5CSom2EHwBAwPI4ANlsNlVWVrbYXlVVJau17UsqlJSUyOl0Kikpqdn2pKQkFRcXe1qWW3FxscfHvPfee1VRUeF+FBQUtPvve7vdB6skSWck+1fLFgAAnvA4AP30pz/Vrbfeqk2bNskwDBmGoU8++USzZs3S5Zdf7nEBFoul2e+GYbTY1tnHtNlsio6ObvbwV98dbgxAAxK7mVwJAADm8TgALV68WAMGDFBmZqbCwsIUFhamsWPHKj09XY8//nibj5OQkKDg4OAWLTOHDh1q0YLjieTk5A4/pj9xB6AekSZXAgCAeTwOQLGxsXrrrbe0a9cuvf7663rttde0c+dOrVy5UjExbR9VZLValZGRodzc3Gbbc3NzlZWV5WlZbpmZmS2OuWbNmtM6pj/59lBjAEqnBQgAEMA8ngixSXp6utLT00/rj8+bN08zZszQqFGjlJmZqaVLlyo/P1+zZs2S1Ng3p7CwUC+++KL7Pdu2bZPU2Ofo8OHD2rZtm6xWq4YMGSJJuuuuu3TeeefpkUce0dSpU/XWW2/pvffe0/r160+rVn9wtM6pwvKjkqQBPQhAAIDA5XEA+tnPfqZRo0bpnnvuabb9D3/4gz799FO99tprbT5Wdna2SktL9dBDD6moqEhDhw7VqlWrlJaWJqlx4sMfzwk0YsQI9/O8vDy9/PLLSktL0759+yRJWVlZeuWVV/TrX/9a9913nwYMGKCcnByNHj3a04/qd/aWVMswpJjwUHWPbHuHdQAA/I3H8wAlJibq/fff17Bhw5pt/+KLLzRx4kQdPHiwQws0gyfzCPiSt7cf0OzlW5WRFqcVt3FLEADgXzp1HqATDXcPDQ2V3W739HDoQt8dahoBRgdoAEBg8zgADR06VDk5OS22v/LKK+5+OPBODIEHAKCRx32A7rvvPl111VX67rvvNGHCBEnS2rVrtXz5co/6/6DrfXe4WpKUTgdoAECA8zgAXX755XrzzTf1+9//Xq+//rrCw8N11lln6b333tP48eM7o0Z0AKfL0B5agAAAkNTOYfCXXnqpLr300o6uBZ3oQPlRORpcsgYHqXdcuNnlAABgKo/7AElSeXm5/va3v2n+/PkqKyuTJH322WcqLCzs0OLQcb491vrTNyFCIcHt+scOAIDf8LgF6PPPP9fEiRMVExOjffv26ZZbblF8fLxWrlyp/fv3N5u0EN6jaQQY/X8AAGhHC9C8efN0ww03aPfu3QoLC3NvnzJlij766KMOLQ4dhxFgAAAc53EA2rx5s/77v/+7xfZevXq1WIQU3uO7Q40jwAhAAAC0IwCFhYW1OuHhzp07lZiY2CFFoeM1tQBxCwwAgHYEoKlTp+qhhx5SfX29JMlisSg/P1/33HOPrrrqqg4vEKfvSHWdSqvrJEn9EpgFGgAAjwPQH//4Rx0+fFg9evTQ0aNHNX78eKWnpysqKkq/+93vOqNGnKam1p+UmDBF2to18wEAAH7F42/D6OhorV+/Xu+//74+++wzuVwujRw5UhMnTuyM+tAB3B2guf0FAICkdk6EKEkTJkxwL4XRpLCwUL169TrtotCxvj3ECDAAAH6oQ2bEKy4u1p133qn09PSOOBw6WNMaYLQAAQDQqM0BqLy8XNdee60SExOVkpKixYsXy+Vy6X//93/Vv39/ffLJJ3ruuec6s1a0k3sEGC1AAABI8uAW2Pz58/XRRx9p5syZevfddzV37ly9++67qq2t1TvvvMNCqF6qtt6pgrIaSdKAHowAAwBA8iAA/etf/9Lzzz+viRMn6he/+IXS09M1cOBALVq0qDPrw2naV1otlyFFhYUosZvN7HIAAPAKbb4FduDAAQ0ZMkSS1L9/f4WFhemWW27ptMLQMX44A7TFYjG5GgAAvEObA5DL5VJoaKj79+DgYEVGckvF2zEDNAAALbX5FphhGLrhhhtkszXeRqmtrdWsWbNahKA33nijYyvEadlX0tgCxAzQAAAc1+YANHPmzGa/X3fddR1eDDrevtLGAJTWPcLkSgAA8B5tDkDPP/98Z9aBTpJ/bARY3+60AAEA0KRDJkKEd6pyNKikqnER1D60AAEA4EYA8mP7j93+io+0Kjos9BR7AwAQOAhAfmx/aePtL/r/AADQHAHIjzV1gKb/DwAAzRGA/Fj+sRagPvG0AAEA8EMEID/mbgFKIAABAPBDBCA/tt/dAsQtMAAAfogA5Kdq650qqqiVJPWlEzQAAM0QgPxUwbEJEKNsIYqPtJpcDQAA3oUA5Kf2Nd3+6h7BKvAAAPwIAchP7WcIPAAAJ0QA8lNMgggAwIkRgPzU/jICEAAAJ0IA8lNNt8DSuAUGAEALBCA/VO906fsjRyXRBwgAgNYQgPzQgfKjcroM2UKC1CPKZnY5AAB4HQKQH9r3gw7QQUEMgQcA4McIQH6oqf8PS2AAANA6ApAfahoCzxIYAAC0jgDkh9wjwBJoAQIAoDUEID/k7gMUTwsQAACtIQD5GZfLUH5Z0y0wWoAAAGgNAcjPFNtrVdfgUkiQRSmxYWaXAwCAVyIA+ZmmDtC948IVEsw/XgAAWsM3pJ9hCQwAAE6NAORn9jEEHgCAUyIA+Zn8smOTINICBADACRGA/My+ElqAAAA4FQKQHzEMgz5AAAC0AQHIj5RW16m6zimLRUqNDze7HAAAvBYByI80tf6kxITLFhJscjUAAHgvApAfaZoDqA9LYAAAcFIEID/iHgKfQAACAOBkCEB+hA7QAAC0DQHIj+xnFXgAANqEAORHaAECAKBtCEB+ouJovY7U1EuS0pgEEQCAkzI9AD311FPq16+fwsLClJGRoY8//vik+69bt04ZGRkKCwtT//799fTTTzd7fdmyZbJYLC0etbW1nfkxTJd/7PZXQjebIm0hJlcDAIB3MzUA5eTkaM6cOVqwYIG2bt2qcePGacqUKcrPz291/7179+qSSy7RuHHjtHXrVs2fP1+zZ8/WihUrmu0XHR2toqKiZo+wsLCu+Eim2Xfs9hdLYAAAcGqmNhX86U9/0s0336xbbrlFkrRo0SKtXr1aS5Ys0cKFC1vs//TTT6tPnz5atGiRJGnw4MHasmWL/vjHP+qqq65y72exWJScnNzmOhwOhxwOh/t3u93e3o9kGvr/AADQdqa1ANXV1SkvL0+TJ09utn3y5MnasGFDq+/ZuHFji/0vuugibdmyRfX19e5tVVVVSktLU+/evfXTn/5UW7duPWktCxcuVExMjPuRmprazk9lHvcIMFqAAAA4JdMCUElJiZxOp5KSkpptT0pKUnFxcavvKS4ubnX/hoYGlZSUSJLOOOMMLVu2TG+//baWL1+usLAwjR07Vrt37z5hLffee68qKircj4KCgtP8dF2PAAQAQNuZ3lvWYrE0+90wjBbbTrX/D7ePGTNGY8aMcb8+duxYjRw5Un/5y1+0ePHiVo9ps9lks9naVb+32F/GLTAAANrKtBaghIQEBQcHt2jtOXToUItWnibJycmt7h8SEqLu3bu3+p6goCCdc845J20B8nU1dQ06aG/sw0QnaAAATs20AGS1WpWRkaHc3Nxm23Nzc5WVldXqezIzM1vsv2bNGo0aNUqhoaGtvscwDG3btk09e/bsmMK9UH5Z4+2vmPBQxUZYTa4GAADvZ+ow+Hnz5ulvf/ubnnvuOe3YsUNz585Vfn6+Zs2aJamxb87111/v3n/WrFnav3+/5s2bpx07dui5557Ts88+q7vvvtu9z4MPPqjVq1drz5492rZtm26++WZt27bNfUx/RP8fAAA8Y2ofoOzsbJWWluqhhx5SUVGRhg4dqlWrViktLU2SVFRU1GxOoH79+mnVqlWaO3eunnzySaWkpGjx4sXNhsCXl5fr1ltvVXFxsWJiYjRixAh99NFHOvfcc7v883UVhsADAOAZi9HUixhudrtdMTExqqioUHR0tNnlnNL8lV/o5U35unNCun45eZDZ5QAAYApPvr9NXwoDp69pGYw+rAIPAECbEID8gHsZjARugQEA0BYEIB9X1+DSgfKjkugEDQBAWxGAfNz3R2rkMqQIa7ASu/n2ZI4AAHQVApCP2/+D/j8nm0EbAAAcRwDycceHwHP7CwCAtiIA+bh9x1qA+jIHEAAAbUYA8nFMgggAgOcIQD5ufxnLYAAA4CkCkA9zugwVEIAAAPAYAciHHSg/qnqnIWtwkHrGhJtdDgAAPoMA5MPyj7X+9I4PV3AQQ+ABAGgrApAPcy+BQQdoAAA8QgDyYU2TINL/BwAAzxCAfJh7CDyrwAMA4BECkA9ztwCxCjwAAB4hAPkowzDcAYg+QAAAeIYA5KMOVzp0tN6pIIvUK5Yh8AAAeIIA5KOa1gDrFRcuawj/GAEA8ATfnD7qeAdobn8BAOApApCPYgg8AADtRwDyUUyCCABA+xGAfFTTMhh9aAECAMBjBCAfta+EFiAAANqLAOSDymvqZK9tkCT1YRZoAAA8RgDyQU1D4JOibQq3BptcDQAAvocA5IPcQ+C5/QUAQLsQgHzQ8SUwuP0FAEB7EIB80D5agAAAOC0EIB/EJIgAAJweApAPcgcglsEAAKBdCEA+psrRoJIqhyQmQQQAoL0IQD6maQRYfKRVMeGhJlcDAIBvIgD5mPxjt7+YABEAgPYjAPmYfQyBBwDgtBGAfEx+GUPgAQA4XQQgH7OvhCHwAACcLgKQj2EZDAAATh8ByIfU1jtVZK+VRB8gAABOBwHIh3x/pEaGIXWzhSg+0mp2OQAA+CwCkA/5Yf8fi8VicjUAAPguApAP2V9GB2gAADoCAciH0AEaAICOQQDyIUyCCABAxyAA+ZD8Yy1AfVgFHgCA00IA8hENTpe+P3JUktQ3gRYgAABOBwHIRxwor1WDy5AtJEhJUWFmlwMAgE8jAPmIfe7bXxEKCmIIPAAAp4MA5CMYAQYAQMchAPmI/YwAAwCgwxCAfETTEHgmQQQA4PQRgHwEt8AAAOg4BCAf4HIZyi9rugVGAAIA4HQRgHzAwcpaORpcCgmyKCWWIfAAAJwuApAPaOoA3TsuXCHB/CMDAOB08W3qA5r6//Th9hcAAB2CAOQDWAQVAICORQDyAfnuIfC0AAEA0BEIQD6gaRmMtHhagAAA6AimB6CnnnpK/fr1U1hYmDIyMvTxxx+fdP9169YpIyNDYWFh6t+/v55++ukW+6xYsUJDhgyRzWbTkCFDtHLlys4qv9MZhnF8FmhWgQcAoEOYGoBycnI0Z84cLViwQFu3btW4ceM0ZcoU5efnt7r/3r17dckll2jcuHHaunWr5s+fr9mzZ2vFihXufTZu3Kjs7GzNmDFD27dv14wZMzR9+nRt2rSpqz5WhyqrrlOVo0EWi9Q7jgAEAEBHsBiGYZj1x0ePHq2RI0dqyZIl7m2DBw/WtGnTtHDhwhb7/8///I/efvtt7dixw71t1qxZ2r59uzZu3ChJys7Olt1u1zvvvOPe5+KLL1ZcXJyWL1/eprrsdrtiYmJUUVGh6Ojo9n68FhwNTh2udHj0ns37yjQ3Z7tSYsK04d4LO6wWAAD8jSff3yFdVFMLdXV1ysvL0z333NNs++TJk7Vhw4ZW37Nx40ZNnjy52baLLrpIzz77rOrr6xUaGqqNGzdq7ty5LfZZtGjRCWtxOBxyOI4HE7vd7unHaZOvDth15VOtf7ZTGdCjWwdXAwBA4DLtFlhJSYmcTqeSkpKabU9KSlJxcXGr7ykuLm51/4aGBpWUlJx0nxMdU5IWLlyomJgY9yM1NbU9H+mULJJsIUEeP/p2j9Ddkwd1Sk0AAAQi01qAmlgslma/G4bRYtup9v/xdk+Pee+992revHnu3+12e6eEoBF94rTzt1M6/LgAAMAzpgWghIQEBQcHt2iZOXToUIsWnCbJycmt7h8SEqLu3bufdJ8THVOSbDabbDZbez4GAADwQabdArNarcrIyFBubm6z7bm5ucrKymr1PZmZmS32X7NmjUaNGqXQ0NCT7nOiYwIAgMBj6i2wefPmacaMGRo1apQyMzO1dOlS5efna9asWZIab00VFhbqxRdflNQ44uuJJ57QvHnz9POf/1wbN27Us88+22x011133aXzzjtPjzzyiKZOnaq33npL7733ntavX2/KZwQAAN7H1ACUnZ2t0tJSPfTQQyoqKtLQoUO1atUqpaWlSZKKioqazQnUr18/rVq1SnPnztWTTz6plJQULV68WFdddZV7n6ysLL3yyiv69a9/rfvuu08DBgxQTk6ORo8e3eWfDwAAeCdT5wHyVp01DxAAAOg8nnx/m74UBgAAQFcjAAEAgIBDAAIAAAGHAAQAAAIOAQgAAAQcAhAAAAg4BCAAABBwCEAAACDgEIAAAEDAMXUpDG/VNDm23W43uRIAANBWTd/bbVnkggDUisrKSklSamqqyZUAAABPVVZWKiYm5qT7sBZYK1wulw4cOKCoqChZLJYOPbbdbldqaqoKCgpYZ+wUOFdtx7lqO85V23GuPMP5arvOOleGYaiyslIpKSkKCjp5Lx9agFoRFBSk3r17d+rfiI6O5l+QNuJctR3nqu04V23HufIM56vtOuNcnarlpwmdoAEAQMAhAAEAgIAT/MADDzxgdhGBJjg4WOeff75CQrgDeSqcq7bjXLUd56rtOFee4Xy1ndnnik7QAAAg4HALDAAABBwCEAAACDgEIAAAEHAIQAAAIOAQgLrQU089pX79+iksLEwZGRn6+OOPzS7JKz3wwAOyWCzNHsnJyWaX5RU++ugjXXbZZUpJSZHFYtGbb77Z7HXDMPTAAw8oJSVF4eHhOv/88/XVV1+ZVK25TnWubrjhhhbX2ZgxY0yq1lwLFy7UOeeco6ioKPXo0UPTpk3Tzp07m+3DtdWoLeeKa6vRkiVLdNZZZ7knO8zMzNQ777zjft3sa4oA1EVycnI0Z84cLViwQFu3btW4ceM0ZcoU5efnm12aVzrzzDNVVFTkfnzxxRdml+QVqqurNXz4cD3xxBOtvv7oo4/qT3/6k5544glt3rxZycnJmjRpknt9u0ByqnMlSRdffHGz62zVqlVdWKH3WLdunW6//XZ98sknys3NVUNDgyZPnqzq6mr3PlxbjdpyriSuLUnq3bu3Hn74YW3ZskVbtmzRhAkTNHXqVHfIMf2aMtAlzj33XGPWrFnNtp1xxhnGPffcY1JF3uv+++83hg8fbnYZXk+SsXLlSvfvLpfLSE5ONh5++GH3ttraWiMmJsZ4+umnzSjRa/z4XBmGYcycOdOYOnWqSRV5t0OHDhmSjHXr1hmGwbV1Mj8+V4bBtXUycXFxxt/+9jevuKZoAeoCdXV1ysvL0+TJk5ttnzx5sjZs2GBSVd5t9+7dSklJUb9+/fSf//mf2rNnj9kleb29e/equLi42XVms9k0fvx4rrMT+PDDD9WjRw8NHDhQP//5z3Xo0CGzS/IKFRUVkqT4+HhJXFsn8+Nz1YRrqzmn06lXXnlF1dXVyszM9IprigDUBUpKSuR0OpWUlNRse1JSkoqLi02qynuNHj1aL774olavXq2//vWvKi4uVlZWlkpLS80uzas1XUtcZ20zZcoUvfTSS3r//ff12GOPafPmzZowYYIcDofZpZnKMAzNmzdP//Ef/6GhQ4dK4to6kdbOlcS19UNffPGFunXrJpvNplmzZmnlypUaMmSIV1xTzNXdhSwWS7PfDcNosQ2N//FoMmzYMGVmZmrAgAF64YUXNG/ePBMr8w1cZ22TnZ3tfj506FCNGjVKaWlp+te//qUrr7zSxMrMdccdd+jzzz/X+vXrW7zGtdXcic4V19ZxgwYN0rZt21ReXq4VK1Zo5syZWrdunft1M68pWoC6QEJCgoKDg1uk2kOHDrVIv2gpMjJSw4YN0+7du80uxas1jZTjOmufnj17Ki0tLaCvszvvvFNvv/22PvjgA/Xu3du9nWurpROdq9YE8rVltVqVnp6uUaNGaeHChRo+fLgef/xxr7imCEBdwGq1KiMjQ7m5uc225+bmKisry6SqfIfD4dCOHTvUs2dPs0vxav369VNycnKz66yurk7r1q3jOmuD0tJSFRQUBOR1ZhiG7rjjDr3xxht6//331a9fv2avc20dd6pz1ZpAvrZ+zDAMORwOr7imWA2+i0RHR+u+++5Tr169FBYWpt///vf64IMP9Pzzzys2Ntbs8rzK3XffLZvNJsMwtGvXLt1xxx3atWuXnnnmmYA/V1VVVfr6669VXFysZ555RqNHj1Z4eLjq6uoUGxsrp9OphQsXatCgQXI6nfrlL3+pwsJCLV26VDabzezyu9TJzlVwcLDmz5+vqKgoOZ1Obdu2Tbfccovq6+v1xBNPBNy5uv322/XSSy/p9ddfV0pKiqqqqlRVVaXg4GCFhobKYrFwbR1zqnNVVVXFtXXM/PnzZbVaZRiGCgoKtHjxYv3973/Xo48+qgEDBph/TXXJWDMYhmEYTz75pJGWlmZYrVZj5MiRzYZN4rjs7GyjZ8+eRmhoqJGSkmJceeWVxldffWV2WV7hgw8+MCS1eMycOdMwjMbhyvfff7+RnJxs2Gw247zzzjO++OILc4s2ycnOVU1NjTF58mQjMTHRCA0NNfr06WPMnDnTyM/PN7tsU7R2niQZzz//vHsfrq1GpzpXXFvH3XTTTe7vvMTEROPCCy801qxZ437d7GvKYhiG0fkxCwAAwHvQBwgAAAQcAhAAAAg4BCAAABBwCEAAACDgEIAAAEDAIQABAICAQwACAAABhwAEAAACDgEIQMBZtmyZ1y6rsmzZMlksFlksFs2ZM+ekWrEy/QAABx1JREFU+/bt29e9b3l5eRdVCPgHAhCAU7rhhhvcX7ShoaHq37+/7r77blVXV5tdml+Kjo5WUVGRfvOb35x0v82bN2vFihVdVBXgX0LMLgCAb7j44ov1/PPPq76+Xh9//LFuueUWVVdXa8mSJe06Xl1dnaxWawdX6R8sFouSk5NPuV9iYqLi4+O7oCLA/9ACBKBNbDabkpOTlZqaqmuuuUbXXnut3nzzTffr69at07nnniubzaaePXvqnnvuUUNDg/v1888/X3fccYfmzZunhIQETZo0SZJUUVGhW2+9VT169FB0dLQmTJig7du3n7COzMxM3XPPPc22HT58WKGhofrggw8kSUeOHNH111+vuLg4RUREaMqUKdq9e/cJj3nDDTdo2rRpzbbNmTNH559/frP677zzTs2ZM0dxcXFKSkrS0qVLVV1drRtvvFFRUVEaMGCA3nnnnWbH+frrr3XJJZeoW7duSkpK0owZM1RSUnLCWgB0DQIQgHYJDw9XfX29JKmwsFCXXHKJzjnnHG3fvl1LlizRs88+q9/+9rfN3vPCCy8oJCRE//73v/XMM8/IMAxdeumlKi4u1qpVq5SXl6eRI0fqwgsvVFlZWat/99prr9Xy5cv1w3Wcc3JylJSUpPHjx0tqDDRbtmzR22+/rY0bN8owDF1yySXuetvrhRdeUEJCgj799FPdeeeduu2223T11VcrKytLn332mS666CLNmDFDNTU1kqSioiKNHz9eZ599trZs2aJ3331XBw8e1PTp00+rDgAdoMvWnQfgs2bOnGlMnTrV/fumTZuM7t27G9OnTzcMwzDmz59vDBo0yHC5XO59nnzySaNbt26G0+k0DMMwxo8fb5x99tnNjrt27Vrj/7d3fyFNtXEcwL+zDYotB02RbSDDzExNwYo4aQ5Dk8CYl9rSi0k0ilgE2Y3Du8BrL8QrQ3AXgRdBDPVGCXUkCxoEUyO3MjCHfxB30cX09168eOjk5rvyfUPefT8wtvM853nO8zsX43fOcx5Ofn6+fP/+XVN+9uxZGRoaSjuWRCIher1e3rx5o5YpiiJPnz4VEZGlpSUBILOzs2r9+vq6nDp1Sl6+fCkiIsPDw2I2mzPGJyLi8/nE6XSq206nU+rr69XtVColRqNROjs71bLV1VUBIKFQSERE/H6/3Lx5U9PvysqKAJDFxcW08f08tn8yNTUlAGRrayvrNkQkwjtARJSV169fw2Qy4eTJk1AUBQ0NDRgYGAAARKNRKIoCnU6n7l9XV4dkMomvX7+qZZcvX9b0+e7dOySTSVgsFphMJvUTi8Xw6dOntOMoLCxEc3MzRkdHAQCxWAyhUAhut1sdi16vx9WrV9U2FosF58+fRzQaPdI5qK6uVn+fOHECFosFFy9eVMuKiooAAIlEQo1vampKE1t5eTkAZIwvnefPn2v6+PLly5HiICI+BE1EWWpsbMTg4CAMBgNsNhsMBoNaJyKa5Ge/DICm3Gg0avbZ29uD1WrF9PT0geMdtkzd7XbD5/NhYGAAgUAAlZWVqKmp0Rz3Z+nGuC8vL+9Au3TTZT/GDEBdFffj9n5c+9+3b99Gf3//gb6sVmum8A7wer2aaTObzZZ1WyJKjwkQEWXFaDSitLQ0bV1FRQXGxsY0Scbc3BxOnz4Nu92esc/a2lp8+/YNer0eDocj67G0tbXh/v37GB8fRyAQQGdnp2YsqVQKb9++xbVr1wAAGxsbWFpawoULF9L2V1hYiA8fPmjK3r9/fyDh+VW1tbUYGxuDw+GAXv/7f7dnzpzhai+ifxmnwIjoyB48eICVlRU8evQICwsLePXqFfr6+vDkyRPk5WX+m2lqaoKiKGhra8PExATi8Tjm5ubQ29uLcDicsZ3RaITL5YLf70c0GsWdO3fUunPnzsHlcuHevXuYmZlBJBLB3bt3Ybfb4XK50vZ348YNhMNhjIyM4OPHj+jr6zuQEP2Ohw8fYnNzEx0dHZifn8fy8jImJyfh8Xiwu7t75P6J6PcxASKiI7Pb7QgGg5ifn0dNTQ28Xi+6u7vR29t7aDudTodgMIiGhgZ4PB6UlZWhvb0d8XhcfZ4mE7fbjUgkguvXr6O4uFhTNzw8jEuXLqG1tRWKokBEEAwGM97RaWlpgd/vR09PD65cuYKdnR10dXX92klIw2azYXZ2Fru7u2hpaUFVVRV8Ph/MZvOhiSER/fd0kmnCnIiI/rgXL17g8ePHWb/aYnp6Go2Njdja2jq2r/cgOo54CUJEdMxsb2/DZDLh2bNnh+5XWVmJW7du/aFREf2/8A4QEdExsrOzg7W1NQB/r4QrKCjIuO/nz5/V1WolJSWcViP6BUyAiIiIKOfwcoGIiIhyDhMgIiIiyjlMgIiIiCjnMAEiIiKinMMEiIiIiHIOEyAiIiLKOUyAiIiIKOcwASIiIqKc8xdDzwge1QBlIwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fd982fb3080>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.20\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.single_ion_adsorption_water_flood_single_shock(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood, 0.0)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  86%|███████████████████████████████████▎     |  ETA: 0:00:01\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.3043478260869565, 2.608695652173913, 3.9130434782608696, 5.217391304347826, 6.521739130434783, 7.82608695652174, 9.130434782608697, 10.434782608695654, 11.739130434782611  …  1162.1739130434953, 1163.4782608695823, 1164.7826086956693, 1166.0869565217563, 1167.3913043478433, 1168.6956521739303, 1170.0000000000173, 1171.3043478261043, 1172.6086956521913, 1173.9130434782783], [0.0, 0.0003333333333333334, 0.0006666666666666668, 0.001, 0.0013333333333333335, 0.001666666666666667, 0.002, 0.002333333333333334, 0.002666666666666667, 0.003000000000000001  …  0.29700000000000437, 0.2973333333333377, 0.2976666666666711, 0.29800000000000443, 0.2983333333333377, 0.2986666666666711, 0.29900000000000443, 0.2993333333333378, 0.29966666666667113, 0.30000000000000443], [0.0, 8.534839501805897e-14, 1.2906342661267455e-13, 2.6483445066579273e-13, 2.284052576702798e-13, 2.933995639035442e-13, 2.389292467578724e-13, 1.3253287356462816e-13, 2.678413046908192e-13, 3.721560097128913e-13  …  3.890290867225591e-12, 3.848310559106951e-12, 3.998653260358275e-12, 3.923019316805686e-12, 3.8870527167371e-12, 3.903012172716087e-12, 3.8833519733216836e-12, 3.923944502659541e-12, 3.917236905219097e-12, 3.895379389421789e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0014999999999999998, 0.0018, 0.0021, 0.0024, 0.0026999999999999997  …  0.1473, 0.14759999999999998, 0.14789999999999998, 0.1482, 0.1485, 0.1488, 0.14909999999999998, 0.14939999999999998, 0.1497, 0.15], [1.0, 0.8474295260063788, 0.8462733471987094, 0.8451869955344329, 0.8441390401029257, 0.8431174656067283, 0.8421161797403095, 0.841131594853635, 0.8401613850543801, 0.8392039360376984  …  0.7999999999990673, 0.7999999999996303, 0.8000000000080661, 0.8000000000094267, 0.7999999999967277, 0.7999999999796981, 0.7999999999806755, 0.7999999999922556, 0.7999999999936933, 0.7999999999911769], [0.0, 5.574000249529892e-83, 6.525303781291018e-81, 3.8430147649774224e-79, 1.5170528730856269e-77, 4.5137721140552415e-76, 1.0793948047222812e-74, 2.1604828781912572e-73, 3.7222700185776846e-72, 5.634352010786128e-71  …  1.0000000000005795, 1.000000000000403, 1.0000000000009976, 1.0000000000017342, 1.0000000000016935, 1.0000000000026268, 1.0000000000050266, 1.0000000000060525, 1.0000000000043265, 1.0000000000028357], [1.0, 0.9999999999994563, 0.9999999999989877, 0.9999999999991893, 0.9999999999995871, 0.9999999999987362, 0.9999999999985225, 0.9999999999989233, 0.9999999999994601, 0.9999999999990928  …  1.000000000002866, 1.0000000000029852, 1.0000000000048785, 1.000000000005226, 1.0000000000052016, 1.0000000000035203, 1.000000000002259, 1.000000000002864, 1.000000000002942, 1.0000000000028357])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.000000000000007, 0.5, 'Water saturation [-]')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.000000000000007, 0.5, 'Water saturation [-]')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "# plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "# plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solvent injection: DME example\n",
    "One necessary detail is the volumetric partition coefficient that is needed for finding the analytical solution. It can be done by doing some thermodynamic magic for finding the partial molar volumes of DME in the aqueous and in the oleic phase.  \n",
    "I've done it in another file, because it is boring for everybody else (not me, I love thermodynamics). The result is here. I have also shown the molar and mass partition coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.8608359516499842\n",
      "low sal breakthrough time = 1.0980083098209574\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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R0dGoqKjocl1VVRWioqK6vY9KpUJQUJDNg3qmsqEVZfUtEARgrAsD0dBwy3pEZyq5YjURETnGowKRwWBAfn4+YmJibI6/++67mDhxIsaNG3fFe5w4cQJGo1G6R3p6OnQ6Hfbv3y9ds2/fPuh0OmRkZDj3A9BlWTd0HREZiACV6xolxw62hK39hbUuew8iIvJObg1Eq1atwq5du1BYWIh9+/bhlltugV6vx7Jly6Rr9Ho9Pv7448u2Dp09exbPPPMMDh48iKKiInz11Ve49dZbkZaWhmnTpgEARo0ahblz5yIrKws5OTnIyclBVlYW5s+fzxlmfaTzgGpXyhhmWYvoeJkOuhajS9+LiIi8i1sDUWlpKe644w4kJydj4cKFUCqVyMnJQUJCgnTN5s2bIYoi7rjjji4/r1Qq8d1332HOnDlITk7GihUrMHv2bOzYsQNyuVy6btOmTUhNTcXs2bMxe/ZsjB07Fh988EGffEbqFIhcsP5QZzEaPySGq2EWgcPFdS59LyIi8i6CKIqiu4voD/R6PTQaDXQ6HccTOcBkFjF2zXY0tZnw9f+5BqNiXPu/3e8/PISv87R4Yv5oLL860aXvRUREns/e72+PGkNE3udMZSOa2kzwV8oxIsp5O9x3J7FjYHVRdZPL34uIiLwHAxG5lHVD19RBGshlrl89ekhHICpkICIiIgcwEJFLuXJD18sZykBEREQ9wEBELuXqFaovNTQiAABQVt+C+ua2PnlPIiLq/xiIyGWaDO04XWHZVy7NxTPMrELVSgyLtISinHNdt4AhIiK6HAYicpnjZTqYRSBG44uoIOfvcN+daUmW9Yj2nGUgIiIi+zAQkcv01YKMl8oYFg4A2H2muk/fl4iI+i8GInKZY6WWQDSujwPR1MQwyATgbFUTKvStffreRETUPzEQkcscK9UBAMYO1vTp+2r8fZAyyPKee9ltRkREdmAgIpeobWpDaV0LAEjhpC+ldbRKndQ29Pl7ExFR/8NARC5xvMzSOjQ0XI0gX58+f/9EaT2ixj5/byIi6n8YiMgljneMH0rt4+4yq8SO9Yi4QCMREdmDgYhc4mjH+KFUN3SXARdXrC6qaYbJzP2LiYjolzEQkUsclwZU9+0MM6vYYD8o5TK0tZtRWtfslhqIiKj/YCAip6vUt0Krb4VMAMbEBrmlBrlMwOiO995fWOuWGoiIqP9gICKnsw6oHhYZALVK4bY6MjpWrObUeyIiuhIGInK6Y9L4Ifd0l1lN61ixen8RW4iIiOiXMRCR01lXqO7rBRkvNTI6EIBl5/tWo8mttRARkWdjICKnEkVR6jJz15R7q1C1EkG+CogicL6GA6uJiKh7DETkVOW6VlQ3tkEhEzA6xj0Dqq0EQei0HhEXaCQiou4xEJFTWccPjYgKhK+P3M3VXFyP6BwXaCQiol/AQEROdbzMM8YPWVkD0cly7mlGRETdYyAip5JmmHlIIJo0JBQAsPdcDUSRK1YTEdHlMRCR03QeUD3WzVPurSYkBEOlkKGqwYCCSo4jIiKiy2MgIqcpqW1BfbMRSrkMyR1T3t1NpZBjfJwlnFlbr4iIiC7FQEROc6xj/NComEAoFZ7zqzUs0jLTrIgDq4mIqBue861F/d5xDxs/ZJXYMbC6kIGIiIi6wUBETmPtkvKU8UNWQyM49Z6IiH4ZAxE5hdksIs9DVqi+1JAwSyAqqm6C2cyZZkRE1BUDETlFYU0TGgztUClkGN4xZsdTxIX6w18pR4vRhNOVXI+IiIi6YiAip7COHxoTGwSF3LN+rXzkMlzVsR7R7jM1bq6GiIg8kWd9c1G/JY0fGuxZ44esMpLCAAB7z1a7uRIiIvJEDETkFJ62ZcelxnWsRXS6goszEhFRVwxE1Gsms4i8Mj0Azw1E1j3NSuua0dZudnM1RETkaRiIqNfOVjWixWiCWilHYrhnDai2ighUQa2UwywCxbXN7i6HiIg8DAMR9drREkt32ZhBGshlgpuruTxBEDCECzQSEVE3GIio1y5u6OqZ3WVW1hWrCzj1noiILuHWQLRmzRoIgmDziI6Ols7feeedXc5PnTrV5h4GgwEPPPAAwsPDoVarsWDBApSWltpcU1dXh8zMTGg0Gmg0GmRmZqK+vr5PPuNAIM0wi/PMGWZW1k1e9xfWurkSIiLyNAp7Llq4cKHDN/773/+OyMjIK143ZswY7NixQ3otl8ttzs+dOxfvvfee9FqpVNqcX7lyJbZt24bNmzcjLCwMDz/8MObPn49Dhw5J91q8eDFKS0uRnZ0NALjnnnuQmZmJbdu2Ofy5yJbRZMbP5R0Dqj28hSgjKRyAJRC1tZs9agNaIiJyL7sC0datW7Fo0SL4+fnZddN//vOfaGxstCsQKRQKm1ahS6lUqm7P63Q6vPvuu/jggw8wa9YsAMCHH36IuLg47NixA3PmzEF+fj6ys7ORk5ODKVOmAADWr1+P9PR0nDp1CsnJyZe9t8FggMFgkF7r9forfpaB6HRFA9razQj0VSAhzN/d5fyikdGBCFUrUdvUhmOl9ZjUsVgjERGRXYEIAF599VW7Ag4AfPLJJ3YXUFBQgNjYWKhUKkyZMgVr167F0KFDpfM//PADIiMjERwcjOnTp+O5556T6jh06BCMRiNmz54tXR8bG4uUlBTs2bMHc+bMwd69e6HRaKQwBABTp06FRqPBnj17ug1Ezz//PJ5++mm7P8dAdVxakFEDQfDMAdVWMpmA9KFh+PJ4OXafqWEgIiIiiV19Bt9//z1CQ+3/8vj6668xaNCgK143ZcoUbNy4Edu3b8f69euh1WqRkZGBmhrL9grz5s3Dpk2bsHPnTrz88ss4cOAArr32WqnlRqvVQqlUIiQkxOa+UVFR0Gq10jWXC3KRkZHSNZezevVq6HQ66VFSUmL35x9IjnYEolQP2+G+OxnDLCtW7+aK1URE1IldLUTTp0936KZXX321XdfNmzdPep6amor09HQkJSVhw4YNeOihh3DbbbdJ51NSUjBp0iQkJCTgyy+//MVxTaIo2rRWXK7l4tJrLqVSqaBSqez6HAOZp69QfakpiZZgf6y0HmazCJmHLhNARER9q1ejSltaWqDX620evaFWq5GamoqCgoLLno+JiUFCQoJ0Pjo6Gm1tbairq7O5rrKyElFRUdI1FRUVXe5VVVUlXUM902o04ZTWMoW9vwSihDA15DIBrUYzKhpa3V0OERF5CIcDUXNzM+6//35ERkYiICAAISEhNo/eMBgMyM/PR0xMzGXP19TUoKSkRDo/ceJE+Pj44Ntvv5WuKS8vR15eHjIyMgAA6enp0Ol02L9/v3TNvn37oNPppGuoZ05pG2A0iQhVKzEo2L4B9+7mI5chPtQy+JsLNBIRkZXDgeiRRx7Bzp078cYbb0ClUuGdd97B008/jdjYWGzcuNGhe61atQq7du1CYWEh9u3bh1tuuQV6vR7Lli1DY2MjVq1ahb1796KoqAg//PADbrjhBoSHh+Omm24CAGg0GixfvhwPP/wwvvvuOxw5cgRLly5FamqqNOts1KhRmDt3LrKyspCTk4OcnBxkZWVh/vz53Q6oJvscK7V0l6UM8vwB1Z0NCWMgIiIiW3bPMrPatm0bNm7ciBkzZuB3v/sdrrnmGgwbNgwJCQnYtGkTlixZYve9SktLcccdd6C6uhoRERGYOnUqcnJykJCQgJaWFhw/fhwbN25EfX09YmJiMHPmTPzrX/9CYGCgdI9169ZBoVBg0aJFaGlpwXXXXYf333/fZj2jTZs2YcWKFdJstAULFuD111939KPTJY50bNkx3sMXZLxUYngAvj9VhXNVDERERGThcCCqra1FYmIiACAoKAi1tZZVf6+++mr8/ve/d+hemzdv7vacn58ftm/ffsV7+Pr64rXXXsNrr73W7TWhoaH48MMPHaqNriy3IxCl9bNANDLaEqite7ARERE53GU2dOhQFBUVAQBGjx6Nf//73wAsLUfBwf3ri5F6TtdslFpYxvWzQJSeZJl6n1tSjyZDu5urISIiT+BwILrrrrtw9OhRAJa1eqxjiR588EE88sgjTi+QPFNux/ihhDB/hKqVV7jas8SF+mNwiB/azSIOFHFfMyIi6kGX2YMPPig9nzlzJk6ePImDBw8iKSkJ48aNc2px5Llyi/tnd5lVWnwISutacLqiATOS7VuBnYiIvJdDgUgURZw5cwZGoxEjRoyAQqFAfHw84uPjXVUfeajcEsvaT/1tQLVVYrgaAFBY3ezmSoiIyBPY3WVWVFSE8ePHY+TIkUhNTcWwYcNw6NAhV9ZGHkoURWlA9fj43q095S6J4dap941uroSIiDyB3YHoscceQ2trKz744AN8/PHHiImJcXhWGXmH8zXNqGs2QimXYVRM4JV/wAMlhgcA4FpERERkYXeX2Y8//oiPPvpI2tds8uTJ0npBfn79Y5Vicg5r69Do2CCoFPIrXO2ZrF1mFXoD9K1GBPn6uLkiIiJyJ7tbiLRaLUaOHCm9Hjx4MPz8/C67Txh5t9x+uiBjZxo/HyR0rFh9oJAzzYiIBjq7A5EgCJDJbC+XyWQQRdHpRZFns65QnRbffwMRAGQkhQMAdp+pcXMlRETkbnZ3mYmiiBEjRtjsWdXY2Ii0tDSboGRduZq8k6HdhPwLegBAWlz/HFBtlZEUho/2F+Pgef7OEhENdHYHovfee8+VdVA/8fMFPdpMZoSqlYgL7d9jx6xbeBRWNUEUxX61QS0RETmX3YFo2bJlrqyD+okjxRfHD/X3ABEf5g9BABoM7ahubENEoMrdJRERkZs4vHUHDWzeMKDaSqWQY3CIpZWL0++JiAY2uwJRaGgoqqur7b5pfHw8zp8/3+OiyHPlesmAaquL6xFxgUYiooHMri6z+vp6fP3119BoNHbdtKamBiaTqVeFkeepaTSguNay1cXYwd4RiJIi1PjP6Sr83DFQnIiIBiaOISK7He3Y4T4pQg2Nn3csZDh5SCje212EPWc59Z6IaCCzKxCZzWZX10H9QK40oLp/T7fvbOrQMAgCUFDZiEp9KyKDfN1dEhERuQEHVZPdjkgbunpHdxkAhKiVGB5pGUd0gt1mREQDFgMR2cVsvrjDfZoXzDDrLCmCG70SEQ10DERkl3PVTWhobYevjwzJ0f1zh/vuWDd6ZSAiIhq4GIjILtbWodRBGvjIvevXhoGIiIi865uNXCa3pA6AdyzIeKmhEQxEREQDnd3T7jszmUz47LPPkJ+fD0EQMHLkSNx4441QKHp0O+oHjnjhDDOr4VGBkAlAWX0LtLpWRGs404yIaKBxOMHk5eXhN7/5DbRaLZKTkwEAp0+fRkREBD7//HOkpqY6vUhyr5Y2E05qGwB41wwzqyBfH6QM0uBYqQ57zlZj4YTB7i6JiIj6mMNdZnfffTfGjBmD0tJSHD58GIcPH0ZJSQnGjh2Le+65xxU1kpvlXdDBZBYREahCrJe2nmQkhQMA9nKBRiKiAcnhFqKjR4/i4MGDCAm52HUSEhKC5557DldddZVTiyPPYF2QMc0LdrjvzoSOlq/jZTo3V0JERO7gcAtRcnIyKioquhyvrKzEsGHDnFIUeZZcL1yQ8VJjBln26TtT2QhDO/fhIyIaaBwORGvXrsWKFSvwySefoLS0FKWlpfjkk0+wcuVKvPDCC9Dr9dKDvIMUiLxwhplVrMYXGj8ftJtFFFQ0urscIiLqYw53mc2fPx8AsGjRIqn7RBRFAMANN9wgvRYEgTvee4FKfSvK6lsgCN6zw/3lCIKA1EEa/HSmGmu/ysdbmRMR6OsdG9gSEdGVORyIvv/+e1fUQR7Kun/ZiMhABKi8e1mF/zNrOA4X12HP2Rrc+ve92PC7yYjiZq9ERAOCw99w06dPd0Ud5KEGQneZ1VVDQvHve9Nx53sHcFLbgJv+Zzfe/91kjIjyrq1KiIioqx6tVF1fX4+XX34Zd999N7KysrBu3TrodJyd442kGWZePKC6s5RBGnz2hwwMjVDjgq4VN7+5B/85XeXusoiIyMUcDkQHDx5EUlIS1q1bh9raWlRXV+OVV15BUlISDh8+7IoayU1MZhHHSr1/html4kL98el9GbhqSAgaWttx1/sHsGFPkV13XHEAACAASURBVLvLIiIiF3I4ED344INYsGABioqKsGXLFnz22WcoLCzE/PnzsXLlSlfUSG5yprIRTW0mqJVyDI8cWN1GIWolPrx7Cm6eMBgms4inPj+BP289DqPJ7O7SiIjIBXrUQvTYY4/Z7FumUCjw6KOP4uDBg04tjtzrSLFlQ9fUwRrIZd65IOMvUSnk+O9bx+JP80ZCEIAPc4qx9J19qGowuLs0IiJyMocDUVBQEIqLi7scLykpQWDgwGpF8HYXB1R734au9hIEAfdNT8LbmZMQoFJgX2EtbnjtJxzuCItEROQdHA5Et912G5YvX45//etfKCkpQWlpKTZv3oy7774bd9xxhytqJDcZSDPMruT60VHY+sdpSIpQQ6tvxW1v7cWHOeelNbiIiKh/czgQ/fd//zcWLlyI3/72txgyZAgSEhJw55134pZbbsELL7zg0L3WrFkDQRBsHtHR0QAAo9GIxx57DKmpqVCr1YiNjcVvf/tbXLhwweYeM2bM6HKP22+/3eaauro6ZGZmQqPRQKPRIDMzE/X19Y5+9AGlydCO0xWWHe4HygyzKxkWGYD/vf9qzB0TDaNJxJ+35mHF5lw0tBrdXRoREfWSw4FIqVTib3/7G+rq6pCbm4sjR46gtrYW69atg0qlcriAMWPGoLy8XHocP34cANDc3IzDhw/jiSeewOHDh7FlyxacPn0aCxYs6HKPrKwsm3u89dZbNucXL16M3NxcZGdnIzs7G7m5ucjMzHS41oHkWKkOZtGypQUXJ7woQKXAm0snYPW8kZDLBGw7egE3vPYT8rgpLBFRv+bQwozt7e3w9fVFbm4uUlJSkJqa2vsCFAqpVagzjUaDb7/91ubYa6+9hsmTJ6O4uBjx8fHScX9//8veAwDy8/ORnZ2NnJwcTJkyBQCwfv16pKen49SpU0hOTr7szxkMBhgMFwfPDrS92Y6UWMbIDKTp9vYSBAH3Tk/CpCEheOCfR1BU04yFb+7B6nkjsSx9CGQDcAA6EVF/51ALkUKhQEJCglP3KCsoKEBsbCwSExNx++2349y5c91eq9PpIAgCgoNtv6Q3bdqE8PBwjBkzBqtWrUJDQ4N0bu/evdBoNFIYAoCpU6dCo9Fgz5493b7X888/L3WxaTQaxMXF9eJT9j/WBRk5fqh7ExNC8eWKa3DdyEi0tZvx9LafkfmPfbhQ3+Lu0oiIyEEOd5n9+c9/xurVq1FbW9vrN58yZQo2btyI7du3Y/369dBqtcjIyEBNTU2Xa1tbW/GnP/0JixcvRlBQkHR8yZIl+Oijj/DDDz/giSeewKeffoqFCxdK57VaLSIjI7vcLzIyElqtttvaVq9eDZ1OJz1KSkp6+Wn7D1EUOcPMTiFqJd5ZNgl/+c0Y+PrIsPtMDeb89T/YcriUA66JiPoRh/cye/XVV3HmzBnExsYiISEBarXa5rwjq1XPmzdPep6amor09HQkJSVhw4YNeOihh6RzRqMRt99+O8xmM9544w2be2RlZUnPU1JSMHz4cEyaNAmHDx/GhAkTAFi6OC4liuJlj1upVKoejYnyBuW6VlQ2GCCXWXaAp18mCAIy04dg2rBwPPTvo8gtqcdD/z6Kb3+uwHM3pSJUrXR3iUREdAUOB6Ibb7zRFXUAANRqNVJTU1FQUCAdMxqNWLRoEQoLC7Fz506b1qHLmTBhAnx8fFBQUIAJEyYgOjoaFRUVXa6rqqpCVFSU0z+DN7C2Do2MDoSfUu7mavqPoREB+OS+dPx911n8dUcBvs7T4kBRHV64ORXXjeLvGhGRJ3M4ED311FOuqAOAZSBzfn4+rrnmGgAXw1BBQQG+//57hIWFXfEeJ06cgNFoRExMDAAgPT0dOp0O+/fvx+TJkwEA+/btg06nQ0ZGhss+S3/G9Yd6TiGX4f5rh2NGciQe/FcuCiobsXzDQdw8YTAe//UothYREXmoHu127yyrVq3Crl27UFhYiH379uGWW26BXq/HsmXL0N7ejltuuQUHDx7Epk2bYDKZoNVqodVq0dbWBgA4e/YsnnnmGRw8eBBFRUX46quvcOuttyItLQ3Tpk0DAIwaNQpz585FVlYWcnJykJOTg6ysLMyfP7/bGWYDnXXLDgainksZpMG2B65G1jWJEATg08OluO7lH/DvgyUcW0RE5IHsaiEKCQn5xfE2nTky2Lq0tBR33HEHqqurERERgalTpyInJwcJCQkoKirC559/DgAYP368zc99//33mDFjBpRKJb777jv87W9/Q2NjI+Li4vDrX/8aTz31FOTyi109mzZtwooVKzB79mwAwIIFC/D666/bXedAYjSZcbxjTR0uyNg7vj5yPP7r0ZiXGoP/u+U4Tmob8Ognx/DJoVKsvSkFwwbYhrlERJ5MEO345+qGDRuk5zU1NXj22WcxZ84cpKenA7BMbd++fTueeOIJPPjgg66r1o30ej00Gg10Ot0VxzH1Z3llOsx/7ScE+ipw9MnZXFPHSYwmM/7xUyH+uqMALUYTfOSWPdL+OHMYfH04TouIyFXs/f62KxB1dvPNN2PmzJm4//77bY6//vrr2LFjB7Zu3dqzij3cQAlEH+acx5+35uGa4eH4YPmUK/8AOaSkthlPfX4CO09WAgASwvzx9IIxmJHcdWkIIiLqPXu/vx0eQ7R9+3bMnTu3y/E5c+Zgx44djt6OPAwHVLtWXKg/3l02CW8umYCoIBXO1zTjzvcOYNk/9qOgouHKNyAiIpdwOBCFhYXhs88+63J869atds0CI8/GQOR6giBgXmoMdjw0HcuvToSPXMCu01WY+7cf8cTWPNQ0Gq58EyIiciqHp90//fTTWL58OX744QdpDFFOTg6ys7PxzjvvOL1A6ju6FiPOVDYCYCDqC4G+Pnhi/mgsnZqA//d1PrafqMAHOeexNbcMD1w7DMsyhkCl4PgiIqK+4HAL0Z133ok9e/YgODgYW7ZswaeffgqNRoPdu3fjzjvvdEGJ1FeOlVpah+JC/RAWMDBX6XaHxHA13sqchI+ypmJMbBAaWtux9quTuP6V/+DLY+UwmzlNn4jI1RweVD1QDYRB1a99V4CXvz2NG8bF4rU70txdzoBkMovYcrgUL20/hcoGS9fZ6JggPDx7BK4dGWn38hdERGThskHV5L2s44fS2F3mNnKZgFsnxeH7VTOwctZwBKgU+Llcj+UbDuKmN/bgx4IqLuxIROQCDEQE4JId7rkgo9upVQqsnDUCPz46E7+fkQQ/HzlyS+qR+e5+3PZ2Dvadq3F3iUREXoWBiAAAJbUtqGlqg49cwOgY7+wS7I9C1Eo8Nnck/vPoTPxuWiKUChn2F9bitrdzsOSdHOw5U80WIyIiJ2AgIgDAkRLL/mWjY4K4crIHighU4ckbRmPXIzOwdGo8FDIBu8/UYPE7+3DjG3uQnafl4Gsiol7ocSA6c+YMtm/fjpaWFgDgv1L7Oa4/1D/EaPzw7I2p+H7VDCxLT4BKIcPRknrc9+EhXL9uFz4+WIK2drO7yyQi6nccDkQ1NTWYNWsWRowYgf/6r/9CeXk5AODuu+/Gww8/7PQCqW9w/FD/Ehfqj6d/k4Ldf7oWf5yZhEBfBc5WNeGRT45hxkvf492fCtHQanR3mURE/YbDgejBBx+EQqFAcXEx/P39peO33XYbsrOznVoc9Y22djNOXNADANLiQtxcDTkiPECFR+aMxJ4/XYvH5o5EeIAKF3St+MsXPyP9+Z1Y8/kJFFU3ubtMIiKP5/BK1d988w22b9+OwYMH2xwfPnw4zp8/77TCqO/kl+vR1m5GiL8PEsL8r/wD5HECfX3w+xlJuGvaEHxyqBT/2F2Ic1VNeH9PETbsLcK1yZG4a1oipg0L41pGRESX4XAgampqsmkZsqquroZKxdWN+6MjxZYB1ePigvll2c/5+sixdGoCFk+Ox49nqvHe7kL8cKoK352sxHcnKzEiKgDLMobgN+MHIUDl8H/+RERey+Eus1/96lfYuHGj9FoQBJjNZrz00kuYOXOmU4ujvsEB1d5HJhMwfUQE3r9rMr57eDp+m54Af6Ucpysa8fhneZjy3A7838+OI69M5+5SiYg8gsNbd/z888+YMWMGJk6ciJ07d2LBggU4ceIEamtrsXv3biQlJbmqVrfy5q07Zrz0PYpqmvH+XVdhRnKku8shF9G3GvHvAyXYtK8YhZ3GFaUO0uCOyfFYMD6WrUZE5HXs/f7u0V5mWq0Wb775Jg4dOgSz2YwJEybgj3/8I2JiYnpVtCfz1kBU19SGtL98CwDIffJ6BPsr3VwRuZooisg5V4uP9hcjO0+LNpNlmr5aKceC8bG4ZeJgTIgPYfcpEXkFlwSi9vZ2PPfcc/jd736HuLg4pxTaX3hrIPr+VCXueu8AhoarsXPVDHeXQ32stqkNnx4qxUf7i3GuU6vRkDB/LJwwGDelDUJcKAfaE1H/5bIWooCAAOTl5WHIkCG9rbFf8dZAtO7b0/jbdwVYmDYIr9w23t3lkJtYW40+PlSC7DwtmttM0rmpQ0OxcMJg/FdqDLvUiKjfcdlu97NmzcIPP/zQm9rIgxzhgowEy+SI9KQwvLJoPA48Pgsv3zoOGUlhEAQg51wtHv3kGCY9+y3u/+dhZOdp0Wo0XfmmRET9iMP/3Js3bx5Wr16NvLw8TJw4EWq12ub8ggULnFYcuZYoijjKGWZ0CbVKgZsnDsbNEwejrL4FW4+U4dNDpThX3YQvjpXji2PlCFQpcP2YKNwwLhZXDwuHj5zbIhJR/+Zwl5lM1v1ffIIgwGTyzn85emOX2bmqRlz78i4oFTLkrZkDpYJfanR5oijiWKkOXxy7gC+OlaNc1yqdC/b3wbyUaMxLicHUoWH8PSIij2Lv97fDLURmMzeO9BbW9YdSYoP4JUa/SBAEjIsLxri4YKyeNwqHi+uw7egFfHlci+pGAz7aX4KP9pcgyFeBWaOiMHtMNKaPiICfUu7u0omI7MIRkgOYNRClxXP/MrKfTCZg0pBQTBoSiidvGIN952qw7Vg5vv25AtWNBmw5UoYtR8rg6yPDjBGRmJMShZnJkVzSgYg8msOB6JlnnvnF808++WSPi6G+daSY44eod+QyARnDwpExLBzP3piCw8V12J6nRfYJLUrrWpB9wvJcJgATE0Iwc2Qkrh0ZieSoQK5zREQexeExRGlpaTavjUYjCgsLoVAokJSUhMOHDzu1QE/hbWOIWo0mpDy1He1mET8+OpNrzZBTiaKIExf02H5Ci+0ntDhd0WhzPlbjK4WjjKRwdq0Rkcu4bAzRkSNHLvtmd955J2666SZHb0ducuKCDu1mEeEBSgwO8XN3OeRlBEFAyiANUgZp8PDsZJTWNeP7U1X4/mQldp+pxgVdKzbtK8amfcVQKmRIHxqGazsCEsM5EblDj7buuJy8vDzMnz8fRUVFzridx/G2FqJ3fjyHZ7/Mx6xRkXhn2VXuLocGkFajCXvP1mDnyUrsPFmJsvoWm/MJYf6YNiwc05LCkZEUhhA1xx4RUc+5rIWoO/X19dDpuHN2f8Ed7sldfH3kmDkyEjNHRuIZUcSZykYpHB06X4fzNc04X1OMf+4rhiAAY2KDMG1YOK4eFo5JCaHsXiMil3A4EL366qs2r0VRRHl5OT744APMnTvXaYWRa3GGGXkCQRAwPCoQw6MCce/0JDQa2rG/sAY/FdRg95lqnKpoQF6ZHnllery16xyUchkmJoTg6uHhSE8KQ+ogDReFJCKncLjLLDEx0ea1TCZDREQErr32WqxevRqBgYFOLdBTeFOXWVWDAVc9twOCABx7ajYCfX3cXRLRZVU2tGLv2Rr8VFCNn85U2ywICQB+PnJMSAjG5CFhuCoxBGlxIWxBIiIbLusyKyws7FVh5H7W1qFhEQEMQ+TRIgN98Zvxg/Cb8YMgiiIKq5uw+4wlHO0vrEVdsxG7z9Rg95kaAICPXMDYwcGYnBiKyYmhmJgQgiD+jhORHXo9hkiv12Pnzp1ITk7GqFGjnFETuVhuSR0Ajh+i/kUQBAyNCMDQiABkpg+B2SziTFUj9hfWSg+tvhWHztfh0Pk6vPnDWcgEYFRMECYlhCAtPgRp8cGID/XnGkhE1IXDgWjRokX41a9+hfvvvx8tLS2YNGkSioqKIIoiNm/ejJtvvtkVdZIT5XKHe/ICMpmAEVGBGBEViKVTEyCKIkpqW7C/qBb7C2uwv7AWRTXNOHFBjxMX9Niw9zwAIEytRFp8sBSQxg0OhlrFRfuJBjqH/xb4z3/+g8cffxwA8Nlnn0EURdTX12PDhg149tlnGYg8nNks4liJZTZgWhwHVJP3EAQB8WH+iA/zxy0TBwMAKvWt2F9Ui8Pn63GkpA4nyvSoaWrDjvxK7MivBADIBCA5Oghp8cEYH2cJSMMiAyCXsRWJaCBxOBDpdDqEhoYCALKzs3HzzTfD398fv/71r/HII484vUByrrNVjWgwtMPPR44RUQHuLofIpSKDfDF/bCzmj40FABjaTThxQY8jxfU4XFyH3OJ6lNW3IL9cj/xyPf65rxiAZbD2mNggpA7WIHWQBmMHa5AYzpBE5M0cnq8aFxeHvXv3oqmpCdnZ2Zg9ezYAoK6uDr6+vg7da82aNRAEweYRHR0tnRdFEWvWrEFsbCz8/PwwY8YMnDhxwuYeBoMBDzzwAMLDw6FWq7FgwQKUlpbaXFNXV4fMzExoNBpoNBpkZmaivr7e0Y/uFaz7l6UO1kDB6co0wKgUckyID8HyqxPxP4snYPefrsW+/3sd/r50Au751VBMHhIKtVKOFqMJB8/X4b3dRXjo30cx65X/YOya7Vj01l785Yuf8b+5ZThT2QiT2Snr2hKRB3C4hWjlypVYsmQJAgICkJCQgBkzZgCwdKWlpqY6XMCYMWOwY8cO6bVcfnHK7IsvvohXXnkF77//PkaMGIFnn30W119/PU6dOiVN71+5ciW2bduGzZs3IywsDA8//DDmz5+PQ4cOSfdavHgxSktLkZ2dDQC45557kJmZiW3btjlcb393xLr+EAdUEwEAooJ8MTclBnNTYgAAJrOIwupGHC/T4VipDsdLdThxQY+mNpM0eNvK10eG5KhAjIoJwqiYIIyODcLI6EDO3iTqh3q0dcfBgwdRUlKC66+/HgEBlm6XL7/8EsHBwZg2bZrd91mzZg22bt2K3NzcLudEUURsbCxWrlyJxx57DIClNSgqKgovvPAC7r33Xuh0OkREROCDDz7AbbfdBgC4cOEC4uLi8NVXX2HOnDnIz8/H6NGjkZOTgylTpgAAcnJykJ6ejpMnTyI5OfmytRkMBhgMBum1Xq9HXFxcv1+HaN7ffkR+uR5vLpmAeakx7i6HqF8wmUWcrWrsCEj1OFamw8nyBrQYTZe9Pi7UD6Oigy4GpZggxIX6cXYbkRu4dOuOSZMmYdKkSQAAk8mE48ePIyMjAyEhjg/SLSgoQGxsLFQqFaZMmYK1a9di6NChKCwshFarlbrkAEClUmH69OnYs2cP7r33Xhw6dAhGo9HmmtjYWKSkpGDPnj2YM2cO9u7dC41GI4UhAJg6dSo0Gg327NnTbSB6/vnn8fTTTzv8eTxZc1s7Tmn1ADjDjMgR8k4z2qwDtk1mEUU1TdL4o/zyBuSX61Gua0VJbQtKalvwzc8V0j0CVAqMjLa0Jo2ICsCwyEAMjwpAeIDKXR+LiDrpUZdZamoqli9fDpPJJAUUf39/fPHFF1IXmj2mTJmCjRs3YsSIEaioqMCzzz6LjIwMnDhxAlqtFgAQFRVl8zNRUVE4f94yfVar1UKpVHYJYlFRUdLPa7VaREZGdnnvyMhI6ZrLWb16NR566CHptbWFqD87XqqDWQSig3wRo+EO90S9IZcJSIoIQFJEgDRoGwDqmtqQr70YkPLL9SioaESjoR0Hz9fh4Pk6m/uEqpUYFhmAEVEBGB4ZiOGRARgeFYjwACVblIj6kMOB6JNPPsHSpUsBANu2bUNhYSFOnjyJjRs34vHHH8fu3bvtvte8efOk56mpqUhPT0dSUhI2bNiAqVOnAkCXvxBEUbziXxKXXnO56690H5VKBZXKu/7ldoQbuhK5XIhaiYykcGQkhUvHjCYzzlVZWpNOahtwprIBpysaUVLXjNqmti5jkwAg2N8HIyIDMSwqwBKSIgMxNEKN6CBfyDjbjcjpHA5E1dXV0kywr776CrfeeitGjBiB5cuXd9n41VFqtRqpqakoKCjAjTfeCMDSwhMTc3GsS2VlpdRqFB0djba2NtTV1dm0ElVWViIjI0O6pqKiApeqqqrq0vrk7XKLuSAjkTv4yGVIjg5EcrTtXo8tbSacrWpEQWUDCioacbqiEWcqG3C+thn1zUbLIpNFtkHJz0eOIeFqDI1QY2jHn4nhAUgMV0Pjx8HcRD3lcCCKiorCzz//jJiYGGRnZ+ONN94AADQ3N9vMEOsJg8GA/Px8XHPNNUhMTER0dDS+/fZbpKWlAQDa2tqwa9cuvPDCCwCAiRMnwsfHB99++y0WLVoEACgvL0deXh5efPFFAEB6ejp0Oh3279+PyZMnAwD27dsHnU4nhaaBIpctREQexU8pR8ogDVIGaWyOtxo7glLFxbB0prIRxbXNaDGapK64S4UHKJEYrsbQ8AAkdgpMcaH+UCm46S3RL3E4EN11111YtGgRYmJiIAgCrr/+egCWkDFy5EiH7rVq1SrccMMNiI+PR2VlJZ599lno9XosW7YMgiBg5cqVWLt2LYYPH47hw4dj7dq18Pf3x+LFiwEAGo0Gy5cvx8MPP4ywsDCEhoZi1apVSE1NxaxZswAAo0aNwty5c5GVlYW33noLgGXa/fz587sdUO2NtLpWaPWtkAlA6iV/+RKRZ/H1kWNMrAZjYm3/WzWazCipbUZhdRPOVTXhXHUTCqsbca6qCZUNBlQ3tqG6sQ0HimzHKQmCZexgfKg/4kP9kRDmj/gwteV5qD+C/X04XokGPIcD0Zo1a5CSkoKSkhLceuut0jgbuVyOP/3pTw7dq7S0FHfccQeqq6sRERGBqVOnIicnBwkJCQCARx99FC0tLfjDH/6Auro6TJkyBd988420BhEArFu3DgqFAosWLUJLSwuuu+46vP/++zatVZs2bcKKFSuk2WgLFizA66+/7uhH79esG7qOiArkvk1E/ZSPXCZtcHvdJXtpNxraUVjVhHMdAamwuqkjODWiqc2Ecl0rynWt2HfJWCUACFQpLNuehFq2PkkIVUvBKUbjy0VcaUDo0TpEVq2trQ6vTt1f2buOgad6/ut8vLXrHO6YHI/nFzq+gCYR9U+iKKK2qQ3na5tRXNOM4tpmnK9pRkltM87XNqFCb/jFn1fIBAwK8UN8qD8GBftZHiEX/4wOYmAiz+aydYhMJhPWrl2Lv//976ioqMDp06cxdOhQPPHEExgyZAiWL1/eq8LJNaxbdnCFaqKBRRAEhAWoEBagwoT4rmvFtRpNlnDUEZasj/M1TSipa0FbuxnnayznL0cuExAd5GsTlGI7h6ZgP/gpOX6JPJ/Dgei5557Dhg0b8OKLLyIrK0s6npqainXr1jEQeaB2kxnHSy073HOGGRF15usjx/CoQAyPCuxyzmwWUdHQKoWlC/UtKKtrQVm95XGhvgVGkyi9RtHl3yNMrbQJSzEaX0RrfDv+9ENkoAo+bGUiN3M4EG3cuBFvv/02rrvuOtx3333S8bFjx+LkyZNOLY6c43RFI1qMJgSoFEiK4A73RGQfmUxAjMYPMRo/TB0a1uW82SyiqtGAUmtIqmtBWX3zxdBU14KmNhNqmtpQ09SGYx3/MLuUIAARASopKEUHWYJS5+AUFeQLXx+2NJHrOByIysrKMGzYsC7HzWYzjEajU4oi57JOtx87WAM5F3QjIieRyQREBVnCysSErt1xoihC39KO0k4h6UJ9C7R6A7S6FpTrWlGhb4XRJKKywYDKBgOOdhOaAMuq3lFB1oCkQkSgLyIDVZZHkOV5BFubqIccDkRjxozBjz/+KM0Es/r444+l9YLIs1hnmHH9ISLqS4IgQOPvA41/1yUErMxmEbXNbdB2zIKzBiXrUiFaXSsu6FrQajSjtqkNtU1tl12DqbNQtVIKR5GBvogM6ghNlzzn2CbqzOFA9NRTTyEzMxNlZWUwm83YsmULTp06hY0bN+KLL75wRY3US9YWorTLDKgkInInmUxAeIAK4QGqLgtUWllbmsr1F8NShb7V0qqkN6CqwfK8qsGAdrMoBaeT2oZffO9AlQIRnQJSRKCljrAAJcIDlB3PVQhTK9ldNwA4HIhuuOEG/Otf/8LatWshCAKefPJJTJgwAdu2bZMWaSTP0dBqREFlIwC2EBFR/3SxpckHI6O7nzZtNouoa26Tut8q9ReDUmVDqyU8NVpCVIvRhAZDOxqq2nGuqumKNQSqFAgLUEoBKTxQhXB1x+uO8BQeoESYWgWNnw/3m+uHHApEJpMJP/30EyZPnoxdu3a5qiZyomOlOogiMCjYDxGB3rVZLRFRZzLZxSUGRsV0f50oimg0tEstTJUNrR2hyYCaxjZUNxpQ02R5XtPYhjaT2RKeDO0o6mb5gc4UMgGhHWEpPECJULUSIf7WP30QolYi1F9p+VOtRLC/D7dW8QAOBSK5XI45c+YgPz/fZjNV8lzS/mWcbk9EBMDS4hTo64NAX58rzrwVRRH61nbUNBoss+UaDahqtPxZ09iGmiYDqhvaUN0RoHQtRrSbLw4St1eASoFgf59LwpMSoeqLASrYelztgxB/JQePO5nDXWapqak4d+4cEhMTXVEPORkXZCQi6jlBEKDx84HGzwdDI658fVu7ZfB3dUeAqm4woK65DXXNbahtMqKuqQ21zW2oa2rrOG6EyWxpsWo0tKO0rsXu2gJ9FR0tTEoE+/kg2N9SZ7CfDzT+Sum59bim40+2Rl1ejxZmXLVqFf7ydHlAHAAAIABJREFUl79g4sSJUKvVNuf747YW3koURe5wT0TUh5QKmWUtJY1921qZzSIaDO02Qam2qWuAqm+2HjeirrkNogg0tLajobW921XEu+PnI78YkjoCU7CfUgpMF4OVUnod5OeDQJXCq8dGORyI5s6dC8CyQWrn3ZFFUYQgCDCZTM6rjnqltK4F1Y0GKGRCt7M3iIjIfWSyiy1QQ6C+8g8AMJlF6FuMNgFK12KUHvXNRtRbXze3XXzeYoQoAi1GE1p0lg1/HSEIlq69IF9LQAryVViCkm/XY0G+lzz3UyBApfDofe8cDkQ7d+60CULkuaytQ6NigjhllIjIS8hlAkLUlkHZsKMbz8psFtHQ2m4JTS1tNuFJ32JEfXMb6ps7QlWLETrpeRtajWabVqmyevu79jpTK+U2IckapKyh6qYJg9y2o4LDgWjGjBkuKINcgd1lRERkJZNdXL4gHv4O/Wyr0YSG1nboW42WP1uM0LcaoW9p7/jTKJ23nGu3OdbcZuk9amozoamt+9apyYmhnh+Impub8cgjj2Dr1q0wGo2YNWsWXn31VYSHh7uyPuoFBiIiInIGXx85fH3kPV6+xWgy2wSpy4WqhtZ2xIc6FtScye5A9NRTT+H999/HkiVL4Ovri48++gi///3v8fHHH7uyPuoho8mMvDLucE9ERO7nI5chtGPdJU9ldyDasmUL3n33Xdx+++0AgKVLl2LatGkwmUyQyzk+xdOcLG+Aod2MIF8FEsPsG6hHREQ0UNk93LukpATXXHON9Hry5MlQKBS4cOGCSwqj3jli3dA1PsSrp0kSERE5g92ByGQyQam0bepSKBRob293elHUe7nFHD9ERERkL7u7zERRxJ133gmV6uKAqtbWVtx33302izNu2bLFuRVSj0g73DMQERERXZHdgWjZsmVdji1dutSpxZBz6JqNOFdt2b15HAMRERHRFdkdiN577z1X1kFOlFtqaR1KCPP36BH9REREnsJz19CmHjtSbBlQze4yIiIi+zAQeSEuyEhEROQYBiIvI4oijloDUXyIm6shIiLqHxiIvMz5mmbUNRuhlMswKibQ3eUQERH1CwxEXsbaXTY6NggqBVcQJyIisgcDkZfh+CEiIiLHMRB5GWmGGTd0JSIishsDkRdpNZrwc7keAJAWxwHVRERE9mIg8iI/l+thNIkIVSsRF+rn7nKIiIj6DQYiL9J5Q1dB4A73RERE9mIg8iIcUE1ERNQzDERehIGIiIioZxiIvERNowHFtc0AuMM9ERGRoxiIvIS1dSgpQg2Nn4+bqyEiIupfPCYQPf/88xAEAStXrpSOCYJw2cdLL70kXTNjxowu52+//Xabe9fV1SEzMxMajQYajQaZmZmor6/vs8/WFy52l3G6PRERkaMU7i4AAA4cOIC3334bY8eOtTleXl5u8/rrr7/G8uXLcfPN/7+9ew+K6rz/B/5euSosq4DcFK9RNC5oAMXFRLwFxStNG6Ns10ss1gYVBm3VNE40ZUo7nU7b0eogP+slxWI7Rk0TQiWJiooXLi5BpUgNFoxc1OByiSIsz+8Pw/l2A2gU2LO7vF8zZ8I+59lzPufMJPvOOc9zzg9N2mNjY/Hee+9Jn/v2NZ1yHhMTg1u3biEzMxMAsHr1auh0Ovzzn//szsOQlRSI+EBGIiKiZyZ7IGpoaIBWq0VqaiqSkpJM1vn4+Jh8Pn78OKZPn44RI0aYtPfr169d3zbFxcXIzMzEhQsXEBYWBgBITU2FRqNBSUkJAgICuvFo5NHaKqRA9BLHDxERET0z2W+ZxcXFYd68eZg1a9YT+1VXV+Pjjz/GqlWr2q1LS0uDp6cnxo0bh40bN6K+vl5ad/78eahUKikMAcDkyZOhUqmQk5PT6f6amppQV1dnsliqL+82oP5hC5zs+yDAh2+4JyIielayXiFKT09HQUEBcnNzn9r3wIEDUCqVeO2110zatVothg8fDh8fH1y5cgVbtmxBYWEhsrKyAABVVVXw8vJqtz0vLy9UVVV1ur/k5GRs3779GY9IHpe/fSBj0GAVHOxkz7hERERWR7ZAVFFRgfj4eJw4cQLOzs5P7f+Xv/wFWq22Xd/Y2Fjpb7VajVGjRiE0NBQFBQUIDg4GgA6f2iyEeOLTnLds2YLExETpc11dHfz9/Z9apxz4/CEiIqKukS0Q5efno6amBiEhIVKb0WhEdnY2du7ciaamJtjZ2QEAzpw5g5KSEhw+fPip2w0ODoaDgwNKS0sRHBwMHx8fVFdXt+t3584deHt7d7odJycnODk5PceRmR9nmBEREXWNbIFo5syZKCoqMmlbuXIlxowZg02bNklhCAD27t2LkJAQjB8//qnbvXr1Kpqbm+Hr6wsA0Gg0MBgMuHTpEiZNmgQAuHjxIgwGA8LDw7vxiOTx4JER/656PGaKM8yIiIiej2yBSKlUQq1Wm7S5uLjAw8PDpL2urg7/+Mc/8Pvf/77dNm7cuIG0tDTMnTsXnp6euHbtGjZs2ICXXnoJU6ZMAQCMHTsWc+bMQWxsLFJSUgA8nnY/f/58m5hhduW2AcZWgYFKJ/ipnn7rkYiIiNqz+BG46enpEEJg6dKl7dY5Ojris88+w+zZsxEQEID169cjMjISn376qckVprS0NAQGBiIyMhKRkZEICgrC+++/b87D6DGXy2sB8A33REREXaEQQgi5i7AGdXV1UKlUMBgMcHNzk7scyVtp+cgoqsIv5gTgrWkvyF0OERGRRfm+v98Wf4WInkxfzhlmREREXcVAZMVq6h7ituEhFAogaDADERER0fNiILJil7+dbj/aSwlXJ9nfwkJERGS1GIisGB/ISERE1D0YiKyYNMOMzx8iIiLqEgYiK2VsFSi6ZQAAvMRARERE1CUMRFaqtKYejY+McHG0wygvvuGeiIioKxiIrFTbdPvAwSrY9eEDGYmIiLqCgchK8YWuRERE3YeByEpd5gMZiYiIug0DkRVqaGrB9ZrHb7jngGoiIqKuYyCyQl/cug8hAD+VM7zd+IZ7IiKirmIgskLS+CFeHSIiIuoWDERWiC90JSIi6l4MRFZGCCG9w4wzzIiIiLoHA5GVuW14iDv1TbDro0DgIJXc5RAREdkEBiIr03a7bIyPEn0d7WSuhoiIyDYwEFkZfcW3L3Tl+CEiIqJuw0BkZf7vCdUMRERERN2FgciKNBtbUfQV33BPRETU3RiIrEhJVT0eNrdC6WyPEZ6ucpdDRERkMxiIrEjbdPvxg/ujD99wT0RE1G0YiKxI2wwz3i4jIiLqXgxEVoQzzIiIiHoGA5GVMDxoxo07jQAYiIiIiLobA5GV+OLW49tl/u594eHqJHM1REREtoWByEpcLuf7y4iIiHoKA5GV4AMZiYiIeg4DkRUQQkiBiDPMiIiIuh8DkRWo+PoBvm58BAc7BV70dZO7HCIiIpvDQGQFLn873f5FXzc4O/AN90RERN2NgcgKcPwQERFRz2IgsgLSDDOOHyIiIuoRDEQWrqnFiGu36wBwyj0REVFPYSCycMWV9XhkbEX/fg4Y5tFP7nKIiIhsEgORhdOX/9/7yxQKvuGeiIioJzAQWTgOqCYiIup5FhOIkpOToVAokJCQILWtWLECCoXCZJk8ebLJ95qamrBu3Tp4enrCxcUFCxcuxK1bt0z61NbWQqfTQaVSQaVSQafT4f79+2Y5rq4qvGUAwEBERETUkywiEOXm5mLPnj0ICgpqt27OnDmorKyUloyMDJP1CQkJOHr0KNLT03H27Fk0NDRg/vz5MBqNUp+YmBjo9XpkZmYiMzMTer0eOp2ux4+rq+oeNqPs7uM33AcNZiAiIiLqKfZyF9DQ0ACtVovU1FQkJSW1W+/k5AQfH58Ov2swGLB37168//77mDVrFgDgr3/9K/z9/fHpp59i9uzZKC4uRmZmJi5cuICwsDAAQGpqKjQaDUpKShAQENBzB9dFV756fHVoUP++cHdxlLkaIiIi2yX7FaK4uDjMmzdPCjTfderUKXh5eWH06NGIjY1FTU2NtC4/Px/Nzc2IjIyU2vz8/KBWq5GTkwMAOH/+PFQqlRSGAGDy5MlQqVRSn440NTWhrq7OZDG3tkAUOEhl9n0TERH1JrJeIUpPT0dBQQFyc3M7XB8VFYXXX38dQ4cORVlZGbZu3YoZM2YgPz8fTk5OqKqqgqOjIwYMMH0+j7e3N6qqqgAAVVVV8PLyardtLy8vqU9HkpOTsX379i4cXdd98e34ocDBDEREREQ9SbZAVFFRgfj4eJw4cQLOzs4d9nnjjTekv9VqNUJDQzF06FB8/PHHeO211zrdthDCZIp6R9PVv9vnu7Zs2YLExETpc11dHfz9/Z94TN2t7QqRmleIiIiIepRsgSg/Px81NTUICQmR2oxGI7Kzs7Fz5040NTXBzs70Raa+vr4YOnQoSktLAQA+Pj549OgRamtrTa4S1dTUIDw8XOpTXV3dbv937tyBt7d3p/U5OTnBycmpS8fYFXUPm3Hz3jcAeMuMiIiop8k2hmjmzJkoKiqCXq+XltDQUGi1Wuj1+nZhCADu3buHiooK+Pr6AgBCQkLg4OCArKwsqU9lZSWuXLkiBSKNRgODwYBLly5JfS5evAiDwSD1sUQcUE1ERGQ+sl0hUiqVUKvVJm0uLi7w8PCAWq1GQ0MDtm3bhh/+8Ifw9fXFzZs38fbbb8PT0xM/+MEPAAAqlQqrVq3Chg0b4OHhAXd3d2zcuBGBgYHSIO2xY8dizpw5iI2NRUpKCgBg9erVmD9/vlXMMOPVISIiop4n+7T7ztjZ2aGoqAgHDx7E/fv34evri+nTp+Pw4cNQKpVSvz/84Q+wt7fH4sWL8eDBA8ycORP79+83ucKUlpaG9evXS7PRFi5ciJ07d5r9mJ4FB1QTERGZj0IIIeQuwhrU1dVBpVLBYDDAzc2tx/c37XcncfPeNzj45iRMHT2wx/dHRERki77v77fszyGi9jigmoiIyLwYiCzQ/w6oHsAB1URERD2OgcgCFd3igGoiIiJzYiCyQEVfcUA1ERGROTEQWSBOuSciIjIvBiILY3jAAdVERETmxkBkYa5yQDUREZHZMRBZmLbxQ0EcP0RERGQ2DEQWpohvuCciIjI7BiILwwHVRERE5sdAZEE4oJqIiEgeDEQWhAOqiYiI5MFAZEE4oJqIiEgeDEQWhAOqiYiI5MFAZEE4oJqIiEgeDEQWggOqiYiI5MNAZCHaBlQPHsAB1URERObGQGQhini7jIiISDYMRBaCA6qJiIjkw0BkITigmoiISD4MRBaAA6qJiIjkxUBkATigmoiISF4MRBaAA6qJiIjkxUBkATigmoiISF4MRBaA7zAjIiKSFwORzAwPmvHfbwdUq/0YiIiIiOTAQCQzDqgmIiKSHwORzDigmoiISH4MRDKTAhHHDxEREcmGgUhmD5uNsOuj4BUiIiIiGdnLXUBv9/+WT8SDR49DEREREcmDgcgC9HW0k7sEIiKiXo23zIiIiKjXYyAiIiKiXo+BiIiIiHo9BiIiIiLq9RiIiIiIqNezmECUnJwMhUKBhIQEAEBzczM2bdqEwMBAuLi4wM/PD8uWLcPt27dNvjdt2jQoFAqTZcmSJSZ9amtrodPpoFKpoFKpoNPpcP/+fbMdGxEREVk2iwhEubm52LNnD4KCgqS2b775BgUFBdi6dSsKCgrwwQcf4Pr161i4cGG778fGxqKyslJaUlJSTNbHxMRAr9cjMzMTmZmZ0Ov10Ol0PX5cREREZB1kfw5RQ0MDtFotUlNTkZSUJLWrVCpkZWWZ9N2xYwcmTZqE8vJyDBkyRGrv168ffHx8Otx+cXExMjMzceHCBYSFhQEAUlNTodFoUFJSgoCAgB44KiIiIrImsl8hiouLw7x58zBr1qyn9jUYDFAoFOjfv79Je1paGjw9PTFu3Dhs3LgR9fX10rrz589DpVJJYQgAJk+eDJVKhZycnE731dTUhLq6OpOFiIiIbJOsV4jS09NRUFCA3Nzcp/Z9+PAhNm/ejJiYGLi5uUntWq0Ww4cPh4+PD65cuYItW7agsLBQurpUVVUFLy+vdtvz8vJCVVVVp/tLTk7G9u3bn+OoiIiIyNrIFogqKioQHx+PEydOwNnZ+Yl9m5ubsWTJErS2tmLXrl0m62JjY6W/1Wo1Ro0ahdDQUBQUFCA4OBgAoFC0f0+YEKLD9jZbtmxBYmKi9Lmurg7+/v7f69iIiIjIusgWiPLz81FTU4OQkBCpzWg0Ijs7Gzt37kRTUxPs7OzQ3NyMxYsXo6ysDJ9//rnJ1aGOBAcHw8HBAaWlpQgODoaPjw+qq6vb9btz5w68vb073Y6TkxOcnJye/wCJiIjIasgWiGbOnImioiKTtpUrV2LMmDHYtGmTSRgqLS3FyZMn4eHh8dTtXr16Fc3NzfD19QUAaDQaGAwGXLp0CZMmTQIAXLx4EQaDAeHh4d1/YERERGR1ZAtESqUSarXapM3FxQUeHh5Qq9VoaWnBj370IxQUFOCjjz6C0WiUxvy4u7vD0dERN27cQFpaGubOnQtPT09cu3YNGzZswEsvvYQpU6YAAMaOHYs5c+YgNjZWmo6/evVqzJ8//5lmmAkhAICDq4mIiKxI2+922+94p4QFiYiIEPHx8UIIIcrKygSADpeTJ08KIYQoLy8XU6dOFe7u7sLR0VGMHDlSrF+/Xty7d89ku/fu3RNarVYolUqhVCqFVqsVtbW1z1RbRUVFp/Vw4cKFCxcuXCx7qaioeOLvvEKIp0UmAoDW1lbcvn0bSqXyiYOxn1XbYO2Kioqnjo+iruG5Ng+eZ/PgeTYPnmfz6MnzLIRAfX09/Pz80KdP508bkv3BjNaiT58+GDx4cI9t383Njf+ymQnPtXnwPJsHz7N58DybR0+dZ5VK9dQ+sj+YkYiIiEhuDERERETU69lt27Ztm9xF9HZ2dnaYNm0a7O15B7On8VybB8+zefA8mwfPs3nIfZ45qJqIiIh6Pd4yIyIiol6PgYiIiIh6PQYiIiIi6vUYiIiIiKjXYyCS2a5duzB8+HA4OzsjJCQEZ86ckbskm5OdnY0FCxbAz88PCoUCx44dk7skm5OcnIyJEydCqVTCy8sL0dHRKCkpkbssm7N7924EBQVJD6/TaDT45JNP5C7L5iUnJ0OhUCAhIUHuUmzOtm3boFAoTBYfHx9ZamEgktHhw4eRkJCAX/7yl7h8+TJeeeUVREVFoby8XO7SbEpjYyPGjx+PnTt3yl2KzTp9+jTi4uJw4cIFZGVloaWlBZGRkWhsbJS7NJsyePBg/OY3v0FeXh7y8vIwY8YMLFq0CFevXpW7NJuVm5uLPXv2ICgoSO5SbNa4ceNQWVkpLUVFRbLUwWn3MgoLC0NwcDB2794ttY0dOxbR0dFITk6WsTLbpVAocPToUURHR8tdik27c+cOvLy8cPr0aUydOlXucmyau7s7fve732HVqlVyl2JzGhoaEBwcjF27diEpKQkTJkzAH//4R7nLsinbtm3DsWPHoNfr5S6FV4jk8ujRI+Tn5yMyMtKkPTIyEjk5OTJVRdQ9DAYDgMc/1tQzjEYj0tPT0djYCI1GI3c5NikuLg7z5s3DrFmz5C7FppWWlsLPzw/Dhw/HkiVL8OWXX8pSBx+7KZO7d+/CaDTC29vbpN3b2xtVVVUyVUXUdUIIJCYm4uWXX4ZarZa7HJtTVFQEjUaDhw8fwtXVFUePHsWLL74od1k2Jz09HQUFBcjNzZW7FJsWFhaGgwcPYvTo0aiurkZSUhLCw8Nx9epVeHh4mLUWBiKZKRQKk89CiHZtRNZk7dq1+OKLL3D27Fm5S7FJAQEB0Ov1uH//Po4cOYLly5fj9OnTDEXdqKKiAvHx8Thx4gScnZ3lLsemRUVFSX8HBgZCo9Fg5MiROHDgABITE81aCwORTDw9PWFnZ9fualBNTU27q0ZE1mLdunX48MMPkZ2djcGDB8tdjk1ydHTECy+8AAAIDQ1Fbm4u/vSnPyElJUXmymxHfn4+ampqEBISIrUZjUZkZ2dj586daGpqgp2dnYwV2i4XFxcEBgaitLTU7PvmGCKZODo6IiQkBFlZWSbtWVlZCA8Pl6kqoucjhMDatWvxwQcf4PPPP8fw4cPlLqnXEEKgqalJ7jJsysyZM1FUVAS9Xi8toaGh0Gq10Ov1DEM9qKmpCcXFxfD19TX7vnmFSEaJiYnQ6XQIDQ2FRqPBnj17UF5ejjVr1shdmk1paGjAf/7zH+lzWVkZ9Ho93N3dMWTIEBkrsx1xcXE4dOgQjh8/DqVSKV35VKlU6Nu3r8zV2Y63334bUVFR8Pf3R319PdLT03Hq1ClkZmbKXZpNUSqV7ca/ubi4wMPDg+PiutnGjRuxYMECDBkyBDU1NUhKSkJdXR2WL19u9loYiGT0xhtv4N69e3jvvfdQWVkJtVqNjIwMDB06VO7SbEpeXh6mT58ufW67L718+XLs379fpqpsS9ujI6ZNm2bSvm/fPqxYscL8Bdmo6upq6HQ6VFZWQqVSISgoCJmZmXj11VflLo3oudy6dQtLly7F3bt3MXDgQEyePBkXLlyQ5XeQzyEiIiKiXo9jiIiIiKjXYyAiIiKiXo+BiIiIiHo9BiIiIiLq9RiIiIiIqNdjICIiIqJej4GIiIiIej0GIiIiIur1GIiIqNfbv38/+vfvL3cZHdq/fz8UCgUUCgUSEhKe2HfYsGFS3/v375upQiLbwEBERM9sxYoV0g+vg4MDRowYgY0bN6KxsVHu0mySm5sbKisr8atf/eqJ/XJzc3HkyBEzVUVkW/guMyJ6LnPmzMG+ffvQ3NyMM2fO4Cc/+QkaGxul95o9q0ePHsHR0bGbq7QNCoUCPj4+T+03cOBAuLu7m6EiItvDK0RE9FycnJzg4+MDf39/xMTEQKvV4tixY9L606dPY9KkSXBycoKvry82b96MlpYWaf20adOwdu1aJCYmwtPTU3pBqcFgwOrVq+Hl5QU3NzfMmDEDhYWFndah0WiwefNmk7Y7d+7AwcEBJ0+eBADU1tZi2bJlGDBgAPr164eoqCiUlpZ2us0VK1YgOjrapC0hIcHk5bXTpk3DunXrkJCQgAEDBsDb2xt79uxBY2MjVq5cCaVSiZEjR+KTTz4x2c61a9cwd+5cuLq6wtvbGzqdDnfv3u20FiIyDwYiIuoWffv2RXNzMwDgq6++wty5czFx4kQUFhZi9+7d2Lt3L5KSkky+c+DAAdjb2+PcuXNISUmBEALz5s1DVVUVMjIykJ+fj+DgYMycORNff/11h/vVarX429/+hv99T/Xhw4fh7e2NiIgIAI8DTl5eHj788EOcP38eQgjMnTtXqvd5HThwAJ6enrh06RLWrVuHn/3sZ3j99dcRHh6OgoICzJ49GzqdDt988w0AoLKyEhEREZgwYQLy8vKQmZmJ6upqLF68uEt1EFE3EEREz2j58uVi0aJF0ueLFy8KDw8PsXjxYiGEEG+//bYICAgQra2tUp8///nPwtXVVRiNRiGEEBEREWLChAkm2/3ss8+Em5ubePjwoUn7yJEjRUpKSoe11NTUCHt7e5GdnS21aTQa8fOf/1wIIcT169cFAHHu3Dlp/d27d0Xfvn3F3//+dyGEEPv27RMqlarT4xNCiPj4eBERESF9joiIEC+//LL0uaWlRbi4uAidTie1VVZWCgDi/PnzQgghtm7dKiIjI022W1FRIQCIkpKSDo/vu7U9zcmTJwUAUVtb+72/Q0RC8AoRET2Xjz76CK6urnB2doZGo8HUqVOxY8cOAEBxcTE0Gg0UCoXUf8qUKWhoaMCtW7ekttDQUJNt5ufno6GhAR4eHnB1dZWWsrIy3Lhxo8M6Bg4ciFdffRVpaWkAgLKyMpw/fx5arVaqxd7eHmFhYdJ3PDw8EBAQgOLi4i6dg6CgIOlvOzs7eHh4IDAwUGrz9vYGANTU1EjHd/LkSZNjGzNmDAB0enwd+fWvf22yjfLy8i4dBxFxUDURPafp06dj9+7dcHBwgJ+fHxwcHKR1QgiTMNTWBsCk3cXFxaRPa2srfH19cerUqXb7e9K0eK1Wi/j4eOzYsQOHDh3CuHHjMH78eJP9fldHNbbp06dPu+91dHvtf48ZgDTr7n8/tx1X2z8XLFiA3/72t+225evr29nhtbNmzRqT22x+fn7f+7tE1DEGIiJ6Li4uLnjhhRc6XPfiiy/iyJEjJqEjJycHSqUSgwYN6nSbwcHBqKqqgr29PYYNG/a9a4mOjsZPf/pTZGZm4tChQ9DpdCa1tLS04OLFiwgPDwcA3Lt3D9evX8fYsWM73N7AgQNx5coVkza9Xt8uAD2r4OBgHDlyBMOGDYO9/fP/59fd3Z2zyYi6GW+ZEVG3e+utt1BRUYF169bh3//+N44fP453330XiYmJ6NOn8//szJo1CxqNBtHR0fjXv/6FmzdvIicnB++88w7y8vI6/Z6LiwsWLVqErVu3ori4GDExMdK6UaNGYdGiRYiNjcXZs2dRWFiIH//4xxg0aBAWLVrU4fZmzJiBvLw8HDx4EKWlpXj33XfbBaTnERcXh6+//hpLly7FpUuX8OWXX+LEiRN48803YTQau7x9Inp+DERE1O0GDRqEjIwMXLp0CePHj8eaNWuwatUqvPPOO0/8nkKhQEZGBqZOnYo333wTo0ePxpIlS3Dz5k1pPE5ntFotCgsL8corr2DIkCEm6/bt24eQkBDMnz8fGo0GQghkZGR0esVn9uzZ2Lp1K37xi19g4sSJqK+vx7Jly57tJHTAz88P586dg9FoxOzZs6FWqxEfHw+VSvXEoEhEPU8hOrvBTkREstu/fz8SEhK+96s4Tp06henTp6O2ttZiX0dCZIn4vyRERBbOYDDA1dUVmzZtemK/cePGISoqykxVEdkWXiEiIrJg9fX1qK6uBvB4pp2np2dVg8CJAAAAWklEQVSnff/73/9Ks+FGjBjB23BEz4CBiIiIiHo9/u8DERER9XoMRERERNTrMRARERFRr8dARERERL0eAxERERH1egxERERE1OsxEBEREVGvx0BEREREvd7/B0sSC5lyjA50AAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CQoIiIiKUmJiojRs3nrL/E088ocGDB6tdu3Y699xztXLlypD3V6xYIZfLVe9x7NixljwNNILH7VJgb1EKoQEAJhldCXr16tWaO3euli5dqjFjxuipp57SxIkT9emnn6pPnz71+i9btkwZGRn6z//8T1100UXaunWrbrnlFnXu3FmTJk0K9ouKitKuXbtCPhsREdHi54NTc7lc8nrcqqyuoQYIAGCU0QD08MMPa8aMGZo5c6YkacmSJXrjjTe0bNkyZWZm1uv/X//1X7rtttuUlpYmSerfv7/ef/99LV68OCQAuVwu9ejRo9HjqKioUEVFRfB1SUnJ6Z4SfoQvEIBYCwgAYJCxS2CVlZXavn27UlNTQ9pTU1O1efPmBj9TUVFRbyanXbt22rp1q6qqqoJtZWVl6tu3r3r37q1rrrlGO3bsOOVYMjMzFR0dHXzEx8ef5lnhxwTqgKgBAgCYZCwAFRYWyu/3KzY2NqQ9NjZW+fn5DX5mwoQJ+tOf/qTt27fLsixt27ZNzzzzjKqqqlRYWChJOu+887RixQq98soreuGFFxQREaExY8Zo9+7dJx1LRkaGiouLg4+9e/c234kiBPuBAQBaA+O7wbtcrpDXlmXVawtYsGCB8vPzNXr0aFmWpdjYWE2fPl0PPfSQPB6PJGn06NEaPXp08DNjxozRiBEj9Nhjj+nRRx9t8Ljh4eEKDw9vpjPCqbSmHeEBAM5lbAaoa9eu8ng89WZ7CgoK6s0KBbRr107PPPOMysvL9c033yg3N1f9+vVTZGSkunbt2uBn3G63LrroolPOAME+vjA2RAUAmGcsAPl8PiUmJiorKyukPSsrS8nJyaf8rNfrVe/eveXxeLRq1Spdc801crsbPhXLspSTk6OePXs229hx+oI1QBRBAwAMMnoJbN68eUpPT9fIkSOVlJSk5cuXKzc3V7NmzZJUW5uzb9++4Fo/X3zxhbZu3apRo0bp0KFDevjhh/Xxxx/rueeeCx5z4cKFGj16tAYOHKiSkhI9+uijysnJ0RNPPGHkHBGKGiAAQGtgNAClpaWpqKhIixYtUl5enoYOHap169apb9++kqS8vDzl5uYG+/v9fv3hD3/Qrl275PV6NX78eG3evFn9+vUL9jl8+LBuvfVW5efnKzo6WhdeeKE2bNigiy++2O7TQwOoAQIAtAYui2256ykpKVF0dLSKi4sVFRVlejhtytQns7X1m4NaOm2Erh5m7rLkR98Va9Ljm9QzOkLZGZcbGwcAoPk05e+38a0w4CzeMNYBAgCYRwCCrYI1QBRBAwAMIgDBVtQAAQBaAwIQbOXzsA4QAMA8AhBsxV5gAIDWgAAEW7EOEACgNSAAwVbewFYY1dQAAQDMIQDBVtQAAQBaAwIQbEUNEACgNSAAwVbUAAEAWgMCEGzl5RIYAKAVIADBVj6KoAEArQABCLaiBggA0BoQgGAraoAAAK0BAQi2ogYIANAaEIBgKx+boQIAWgECEGzlDaMGCABgHgEItgrWAFUTgAAA5hCAYCtqgAAArQEBCLaiBggA0BoQgGArZoAAAK0BAQi2CiyEyDpAAACTCECwlTeMGSAAgHkEINgqWAPEXmAAAIMIQLAVNUAAgNaAAARbUQMEAGgNCECwFTNAAIDWgAAEW4WHsQ4QAMA8AhBsFZgB8tdY8tcQggAAZhCAYKvAbfASl8EAAOYQgGCrQBG0RAACAJhDAIKtvO4TZ4C4BAYAMIMABFu53S6FuWtngZgBAgCYQgCC7QKF0JXVBCAAgBkEINguUAfEDBAAwBQCEGznYy0gAIBhBCDYjtWgAQCmEYBgu2ANEAEIAGAIAQi2C9YAUQQNADCEAATbHb8ERg0QAMAM4wFo6dKlSkhIUEREhBITE7Vx48ZT9n/iiSc0ePBgtWvXTueee65WrlxZr8+aNWs0ZMgQhYeHa8iQIVq7dm1LDR+n4XgRNDNAAAAzjAag1atXa+7cubrvvvu0Y8cOpaSkaOLEicrNzW2w/7Jly5SRkaEHHnhAn3zyiRYuXKjbb79dr776arBPdna20tLSlJ6erp07dyo9PV1Tp07Vli1b7Dot/AhqgAAAprksyzJ2HWLUqFEaMWKEli1bFmwbPHiwpkyZoszMzHr9k5OTNWbMGP3+978Pts2dO1fbtm3Tpk2bJElpaWkqKSnRa6+9Fuxz1VVXqXPnznrhhRcaHEdFRYUqKiqCr0tKShQfH6/i4mJFRUWd8Xki1M+XZ+v9rw/q8esu1DUXxBkZw0ffFWvS45vUMzpC2RmXGxkDAKB5lZSUKDo6ulF/v43NAFVWVmr79u1KTU0NaU9NTdXmzZsb/ExFRYUiIiJC2tq1a6etW7eqqqpKUu0M0A+POWHChJMeU5IyMzMVHR0dfMTHx5/OKaGRuA0eAGCasQBUWFgov9+v2NjYkPbY2Fjl5+c3+JkJEyboT3/6k7Zv3y7LsrRt2zY988wzqqqqUmFhoSQpPz+/SceUpIyMDBUXFwcfe/fuPcOzw6n4AgGomiJoAIAZYaYH4HK5Ql5bllWvLWDBggXKz8/X6NGjZVmWYmNjNX36dD300EPyeDyndUxJCg8PV3h4+BmcBZqCGiAAgGnGZoC6du0qj8dTb2amoKCg3gxOQLt27fTMM8+ovLxc33zzjXJzc9WvXz9FRkaqa9eukqQePXo06Ziwn5e7wAAAhhkLQD6fT4mJicrKygppz8rKUnJy8ik/6/V61bt3b3k8Hq1atUrXXHON3O7aU0lKSqp3zDfffPNHjwn7sBkqAMA0o5fA5s2bp/T0dI0cOVJJSUlavny5cnNzNWvWLEm1tTn79u0LrvXzxRdfaOvWrRo1apQOHTqkhx9+WB9//LGee+654DHnzJmjsWPHavHixZo8ebJefvllvfXWW8G7xGCej4UQAQCGGQ1AaWlpKioq0qJFi5SXl6ehQ4dq3bp16tu3ryQpLy8vZE0gv9+vP/zhD9q1a5e8Xq/Gjx+vzZs3q1+/fsE+ycnJWrVqlebPn68FCxZowIABWr16tUaNGmX36eEkgjVAbIUBADDEeBH07NmzNXv27AbfW7FiRcjrwYMHa8eOHT96zGuvvVbXXnttcwwPLYDb4AEAphnfCgPO4w2jBggAYBYBCLajBggAYBoBCLZjHSAAgGkEINguWANEETQAwBACEGzHOkAAANMIQLCdL4waIACAWQQg2I4aIACAaQQg2I51gAAAphGAYDtqgAAAphGAYLvgOkDV1AABAMwgAMF21AABAEwjAMF23jBqgAAAZhGAYDtqgAAAphGAYDv2AgMAmEYAgu2CNUBshQEAMIQABNuxDhAAwLSwxnR69NFHm3zgm266SZGRkU3+HNo+Xxg1QAAAsxoVgObOnavevXvL4/E06qB79+7VNddcQwBCg7zUAAEADGtUAJKkbdu2qXv37o3qS/DBqbAOEADAtEbVAN1///3q2LFjow967733KiYm5rQHhbbtxBogy2IWCABgv0bNAN1///1NOmhGRsZpDQbOELgN3rIkf42lsLp1gQAAsMsZ3QX27//+7zp8+HBzjQUO4Q07HnioAwIAmHBGAeh3v/udDh482FxjgUMELoFJ1AEBAMw4owBE/QZOR5j7xBkgAhAAwH4shAjbuVyuE7bDIAABAOzX6NvgG/Lpp58qLi6uucYCB/F6XKr0S1XVzCICAOx3RjNA8fHxjV4cETiRN4y1gAAA5jQqAMXExKiwsLDRB+3Tp4++/fbb0x4U2j72AwMAmNSoS2CHDx/Wa6+9pujo6EYdtKioSH6//4wGhraNGiAAgEmNrgG68cYbW3IccBivhw1RAQDmNCoA1dTwRwrNK7gfGEXQAAADuA0eRlADBAAwiQAEIwJ3gRGAAAAmEIBghI8aIACAQQQgGBGsAWIzVACAAQQgGBGsAapmBggAYL8mByCPx6OCgoJ67UVFRawKjUajCBoAYFKTA9DJdoCvqKiQz+c74wHBGXxh1AABAMxp9EKIjz76qKTanbz/9Kc/qWPHjsH3/H6/NmzYoPPOO6/5R4g2iRogAIBJjQ5Af/zjHyXVzgA9+eSTIZe7fD6f+vXrpyeffLL5R4g2iUtgAACTGn0JbM+ePdqzZ4/GjRunnTt3Bl/v2bNHu3bt0htvvKFRo0Y1eQBLly5VQkKCIiIilJiYqI0bN56y//PPP6/hw4erffv26tmzp2666SYVFRUF31+xYoVcLle9x7Fjx5o8NrQciqABACY1uQbonXfeUefOnZvly1evXq25c+fqvvvu044dO5SSkqKJEycqNze3wf6bNm3SDTfcoBkzZuiTTz7RX/7yF33wwQeaOXNmSL+oqCjl5eWFPCIiIpplzGgerAMEADCp0ZfAAm6++eZTvv/MM880+lgPP/ywZsyYEQwwS5Ys0RtvvKFly5YpMzOzXv/3339f/fr101133SVJSkhI0G233aaHHnoopJ/L5VKPHj0aPQ7YjxogAIBJTZ4BOnToUMijoKBAb7/9tv72t7/p8OHDjT5OZWWltm/frtTU1JD21NRUbd68ucHPJCcn67vvvtO6detkWZYOHDigv/71r/rpT38a0q+srEx9+/ZV7969dc0112jHjh2nHEtFRYVKSkpCHmhZbIUBADCpyTNAa9eurddWU1Oj2bNnq3///o0+TmFhofx+v2JjY0PaY2NjlZ+f3+BnkpOT9fzzzystLU3Hjh1TdXW1/uEf/kGPPfZYsM95552nFStWaNiwYSopKdEjjzyiMWPGaOfOnRo4cGCDx83MzNTChQsbPXacOYqgAQAmNctK0G63W3fffXfwTrGmcLlcIa8ty6rXFvDpp5/qrrvu0m9/+1tt375dr7/+uvbs2aNZs2YF+4wePVrXX3+9hg8frpSUFL344osaNGhQSEj6oYyMDBUXFwcfe/fubfJ5oGkCNUCVFEEDAAxo8gzQyXz11Veqrq5udP+uXbvK4/HUm+0pKCioNysUkJmZqTFjxuiee+6RJF1wwQXq0KGDUlJS9OCDD6pnz571PuN2u3XRRRdp9+7dJx1LeHi4wsPDGz12nLnjNUAEIACA/ZocgObNmxfy2rIs5eXl6X//93914403Nvo4Pp9PiYmJysrK0j/+4z8G27OysjR58uQGP1NeXq6wsNAhB9YjOtkK1ZZlKScnR8OGDWv02NDyjl8CowgaAGC/JgegHxYUu91udevWTX/4wx9+9A6xH5o3b57S09M1cuRIJSUlafny5crNzQ1e0srIyNC+ffu0cuVKSdKkSZN0yy23aNmyZZowYYLy8vI0d+5cXXzxxYqLi5MkLVy4UKNHj9bAgQNVUlKiRx99VDk5OXriiSeaeqpoQcEiaC6BAQAMaHIAeuedd5rty9PS0lRUVKRFixYpLy9PQ4cO1bp169S3b19JUl5eXsiaQNOnT1dpaakef/xx/fKXv1SnTp102WWXafHixcE+hw8f1q233qr8/HxFR0frwgsv1IYNG3TxxRc327hx5lgHCABgkss62bWjk9izZ4+qq6vr3VG1e/dueb1e9evXrznHZ0RJSYmio6NVXFysqKgo08Npk/724Xea9+JOpQzsqv+a0fQVxM/UR98Va9Ljm9QzOkLZGZfb/v0AgObXlL/fTb4LbPr06Q2u07NlyxZNnz69qYeDQ3EbPADApCYHoB07dmjMmDH12kePHq2cnJxmGRTaPoqgAQAmNTkAuVwulZaW1msvLi6W3+9vlkGh7fOFma0BskTwAgAna3IASklJUWZmZkjY8fv9yszM1CWXXNKsg0PbFVwHyNBdYIHKt4aX3AQAtHVNvgvsoYce0tixY3XuuecqJSVFkrRx40aVlJTo7bffbvYBom0yXQMUmP852arjAIC2rckzQEOGDNHf//53TZ06VQUFBSotLdUNN9ygzz//XEOHDm2JMaINMl0D1MSbHwEAbcxpbYURFxen3/3ud809FjiIr9XMABn5egCAYc2yGSrQVF7TRdCBGiACEAA4EgEIRpgugg7MAblJQADgSAQgGOEzXANUw11gAOBoTQpAlmXp22+/1dGjR1tqPHAI43eBBS+BEYEAwImaHIAGDhyo7777rqXGA4fw1m2GWl1jqabG/lmgwF1gxB8AcMZylTkAACAASURBVKYmBSC3262BAweqqKiopcYDh/CGHf+fXlWN/bNAwchFAgIAR2pyDdBDDz2ke+65Rx9//HFLjAcOEagBkszUAbESNAA4W5PXAbr++utVXl6u4cOHy+fzqV27diHvHzx4sNkGh7bLe2IAqq6Rwu39/sBeYNQAAYAzNTkALVmypCXGAYfxuF1yu2rvxjJSCM0MEAA4WpMD0I033tgS44ADeT1uVVTXqNJAAGIlaABwttNaB+irr77S/Pnz9Ytf/EIFBQWSpNdff12ffPJJsw4ObZvJtYCO1wCRgADAiZocgNavX69hw4Zpy5Yt+tvf/qaysjJJ0t///nfdf//9zT5AtF2BO8FMXAI7XgNk+1cDAFqBJgeg3/zmN3rwwQeVlZUln88XbB8/fryys7ObdXBo2wJrAZnYDoPN4AHA2ZocgD766CP94z/+Y732bt26sT4QmsTkatDHa4CYAgIAJ2pyAOrUqZPy8vLqte/YsUO9evVqlkHBGczWALESNAA4WZMD0HXXXadf//rXys/Pl8vlUk1Njd577z396le/0g033NASY0Qb1TpmgGz/agBAK9DkAPRv//Zv6tOnj3r16qWysjINGTJEY8eOVXJysubPn98SY0Qb5Q2rqwEyuA6QmwQEAI7U5HWAvF6vnn/+ef3rv/6rPvzwQ9XU1OjCCy/UwIEDW2J8aMOCM0AGiqBrLO4CAwAna/IM0KJFi1ReXq7+/fvr2muv1dSpUzVw4EAdPXpUixYtaokxoo3ytop1gAAATtTkALRw4cLg2j8nKi8v18KFC5tlUHAGXyuoAWIKCACcqckByLKsBm8d3rlzp2JiYpplUHCG4DpAJgIQd4EBgKM1ugaoc+fOcrlccrlcGjRoUEgI8vv9Kisr06xZs1pkkGibuAsMAGBKowPQkiVLZFmWbr75Zi1cuFDR0dHB93w+n/r166ekpKQWGSTapuBWGAZXgib/AIAzNToABXaBT0hIUHJysrxeb4sNCs5gciFEBfcCIwIBgBM1+Tb4cePGBZ8fPXpUVVVVIe9HRUWd+ajgCGZrgGp/En8AwJmaXARdXl6uO+64Q927d1fHjh3VuXPnkAfQWNQAAQBMaXIAuueee/T2229r6dKlCg8P15/+9CctXLhQcXFxWrlyZUuMEW2UL8xgAArOAJGAAMCJmnwJ7NVXX9XKlSt16aWX6uabb1ZKSorOOecc9e3bV88//7ymTZvWEuNEG2R0M1RxDQwAnKzJM0AHDx5UQkKCpNp6n4MHD0qSLrnkEm3YsKF5R4c2LXAJrJK7wAAANmtyAOrfv7+++eYbSdKQIUP04osvSqqdGerUqVOzDg5tGzVAAABTmhyAbrrpJu3cuVOSlJGREawFuvvuu3XPPfc0+wDRdgV2gzdTAxRYCZoEBABO1OQaoLvvvjv4fPz48fr888+1bds2DRgwQMOHD2/WwaFtM7sOUC13k/8JAABoCxodgL788kudc8459dr79OmjPn36NOug4AzBGiADM0A1zAABgKM1+t+/gwYNUnx8vG644QY9++yzwTqgM7V06VIlJCQoIiJCiYmJ2rhx4yn7P//88xo+fLjat2+vnj176qabblJRUVFInzVr1mjIkCEKDw/XkCFDtHbt2mYZK5pXsAbIZBE0+QcAHKnRAWj9+vW67bbbtH//ft1xxx0aMGCAEhISNGPGDP33f/+39u3b1+QvX716tebOnav77rtPO3bsUEpKiiZOnKjc3NwG+2/atEk33HCDZsyYoU8++UR/+ctf9MEHH2jmzJnBPtnZ2UpLS1N6erp27typ9PR0TZ06VVu2bGny+NCyAitBm1wHCADgTC7LavqfgqqqKmVnZ+vdd9/Vu+++q/fff18VFRU655xztGvXrkYfZ9SoURoxYoSWLVsWbBs8eLCmTJmizMzMev3/4z/+Q8uWLdNXX30VbHvsscf00EMPae/evZKktLQ0lZSU6LXXXgv2ueqqq9S5c2e98MILjRpXSUmJoqOjVVxczNYeLejlnH2asypHl5zTVf89c5St3/3X7d/pV3/ZqbGDumnlzRfb+t0AgJbRlL/fp1UC6vV6NXbsWN1zzz3KyMjQ7Nmz1bFjR3355ZeNPkZlZaW2b9+u1NTUkPbU1FRt3ry5wc8kJyfru+++07p162RZlg4cOKC//vWv+ulPfxrsk52dXe+YEyZMOOkxJamiokIlJSUhD7Q8kzVAx+8CAwA4UZMC0LFjx/T2229rwYIFSklJUefOnXXXXXeprKxMy5YtO+mlq4YUFhbK7/crNjY2pD02Nlb5+fkNfiY5OVnPP/+80tLS5PP51KNHD3Xq1EmPPfZYsE9+fn6TjilJmZmZio6ODj7i4+MbfR44fawDBAAwpdEBaNy4cYqJidGcOXN08OBB3Xnnnfr222/12Wef6cknn9R1112nXr16NXkArh/8BbIsq15bwKeffqq77rpLv/3tb7V9+3a9/vrr2rNnj2bNmnXax5Rq1zMqLi4OPgKX09CyTNYAsRMGADhbo2+D37x5s3r27Knx48fr0ksv1dixY9W1a9fT/uKuXbvK4/HUm5kpKCioN4MTkJmZqTFjxgQXXLzgggvUoUMHpaSk6MEHH1TPnj3Vo0ePJh1TksLDwxUeHn7a54LTE1wHqNrcXmCnCsYAgLar0TNAhw8f1vLly9W+fXstXrxYvXr10rBhw3THHXfor3/9q77//vsmfbHP51NiYqKysrJC2rOyspScnNzgZ8rLy+X+wcp1Ho9H0vGajqSkpHrHfPPNN096TJjjbRW7wQMAnKjRM0AdOnTQVVddpauuukqSVFpaqk2bNumdd97RQw89pGnTpmngwIH6+OOPG/3l8+bNU3p6ukaOHKmkpCQtX75cubm5wUtaGRkZ2rdvn1auXClJmjRpkm655RYtW7ZMEyZMUF5enubOnauLL75YcXFxkqQ5c+Zo7NixWrx4sSZPnqyXX35Zb731ljZt2tToccEeRoug634yAQQAztTkrTACOnTooJiYGMXExKhz584KCwvTZ5991qRjpKWlqaioSIsWLVJeXp6GDh2qdevWqW/fvpKkvLy8kMLq6dOnq7S0VI8//rh++ctfqlOnTrrsssu0ePHiYJ/k5GStWrVK8+fP14IFCzRgwACtXr1ao0bZe5s1flzrWAeIBAQATtTodYBqamq0bds2vfvuu3rnnXf03nvv6ciRI+rVq5fGjx8ffATCy9mMdYDssftAqa784wbFdPDpwwVX2vrdz2/5Vvet/VhXDonVf94w0tbvBgC0jKb8/W70DFCnTp105MgR9ezZU5deeqkefvhhjR8/XgMGDDjjAcOZWsVWGLZ/MwCgNWh0APr973+v8ePHa9CgQS05HjhIoAiaGiAAgN0aHYBuu+22lhwHHMjsOkC1EchNAgIARzqtrTCA5hBYB6jGkvw19q4FVMNu8ADgaAQgGBOoAZLsnwU6vhcYCQgAnIgABGNODEB21wFxFzwAOBsBCMYEaoAk++8E4y4wAHA2AhCMcblcJxRC21sDdPwuMCIQADgRAQhGBdcCMlYDBABwIgIQjDK5H5jEXWAA4FQEIBhlbgao9if5BwCciQAEo3yBGqBqu2uA6i6BMQUEAI5EAIJRprbDYAYIAJyNAASjjF0CCzwhAQGAIxGAYJT5GiASEAA4EQEIRvkMbYh6vAbI1q8FALQSBCAYFbwN3u4iaGqAAMDRCEAwytQlsAA3U0AA4EgEIBgVuAvM7gBUU8MlMABwMgIQjDJXA1SLAAQAzkQAglHHt8IwUwNEFRAAOBMBCEYFa4CquQsMAGAfAhCMMr8OEADAiQhAMMoXRg0QAMB+BCAYZaoGKDAFxErQAOBMBCAYZXovMGaAAMCZCEAwylgRNDVAAOBoBCAYZX4vMCIQADgRAQhGmV8HCADgRAQgGGVqKwxqgADA2QhAMMr8OkAkIABwIgIQjDJfA2Tr1wIAWgkCEIwK1gBV270OUO0PNwEIAByJAASjTF0Cq7G4CwwAnIwABKOMFUGzDhAAOBoBCEaZqwGqQwICAEciAMEo0+sAcRcYADgTAQhGGdsKg7vAAMDRCEAwyvw6QAAAJyIAwShfmJkaoABmgADAmYwHoKVLlyohIUERERFKTEzUxo0bT9p3+vTpcrlc9R7nn39+sM+KFSsa7HPs2DE7TgdNdHwGyO4aoLpLYMwBAYAjGQ1Aq1ev1ty5c3Xfffdpx44dSklJ0cSJE5Wbm9tg/0ceeUR5eXnBx969exUTE6Of/exnIf2ioqJC+uXl5SkiIsKOU0ITHS+CZi8wAIB9jAaghx9+WDNmzNDMmTM1ePBgLVmyRPHx8Vq2bFmD/aOjo9WjR4/gY9u2bTp06JBuuummkH4ulyukX48ePew4HZwGaoAAACYYC0CVlZXavn27UlNTQ9pTU1O1efPmRh3j6aef1hVXXKG+ffuGtJeVlalv377q3bu3rrnmGu3YseOUx6moqFBJSUnIA/bwGb4LjCkgAHAmYwGosLBQfr9fsbGxIe2xsbHKz8//0c/n5eXptdde08yZM0PazzvvPK1YsUKvvPKKXnjhBUVERGjMmDHavXv3SY+VmZmp6Ojo4CM+Pv70TgpN5g0WQZtaBwgA4ETGi6B/uBeTZVmN2p9pxYoV6tSpk6ZMmRLSPnr0aF1//fUaPny4UlJS9OKLL2rQoEF67LHHTnqsjIwMFRcXBx979+49vZNBk51YAxQoTLYDNUAA4Gxhpr64a9eu8ng89WZ7CgoK6s0K/ZBlWXrmmWeUnp4un893yr5ut1sXXXTRKWeAwsPDFR4e3vjBo9kEApAkVddY8nrsSSSsBA0AzmZsBsjn8ykxMVFZWVkh7VlZWUpOTj7lZ9evX68vv/xSM2bM+NHvsSxLOTk56tmz5xmNFy3Dd0IAsrMQOjDb5Cb/AIAjGZsBkqR58+YpPT1dI0eOVFJSkpYvX67c3FzNmjVLUu2lqX379mnlypUhn3v66ac1atQoDR06tN4xFy5cqNGjR2vgwIEqKSnRo48+qpycHD3xxBO2nBOa5sQZn6pqSzr1hF6zsaiBBgBHMxqA0tLSVFRUpEWLFikvL09Dhw7VunXrgnd15eXl1VsTqLi4WGvWrNEjjzzS4DEPHz6sW2+9Vfn5+YqOjtaFF16oDRs26OKLL27x80HTedwuuVy1gcTOtYCO7wVGAgIAJzIagCRp9uzZmj17doPvrVixol5bdHS0ysvLT3q8P/7xj/rjH//YXMNDC3O5XPJ63KqsrrH5EphtXwUAaIWM3wUG+AwshshdYADgbAQgGBeoAzIxA8RdYADgTAQgGBdcC6jaznWAAjVAtn0lAKAVIQDBOCP7gbESNAA4GgEIxvnC7N8RnhogAHA2AhCMC9YA2bghamAhRGqAAMCZCEAw7sT9wOzCDBAAOBsBCMYdrwGysQiadYAAwNEIQDDO7DpATAEBgBMRgGCcN8zEOkCBGiAAgBMRgGDc8XWAqAECANiDAATjzNQA1X6XmwQEAI5EAIJxRmqAAgshkn8AwJEIQDDO7F5gAAAnIgDBODPrADEFBABORgCCcd66rTCq7NwMlRkgAHA0AhCMM7sOkG1fCQBoRQhAMM5sDRAJCACciAAE40zUAAXmgJgBAgBnIgDBOK/J2+Bt+0YAQGtCAIJxPhNF0HU/mQECAGciAME4MzVAgb3ASEAA4EQEIBhnZh2gOuQfAHAkAhCMowYIAGA3AhCM85nYDLXup4siIABwJAIQjPOGmawBAgA4EQEIxgVrgKrtvwTm5v8BAOBI/OcfxhmpARJ3gQGAkxGAYJyRGiA2gwcARyMAwTiTd4EBAJyJAATjAgsh2rsOUGAvMKaAAMCJCEAwzhvGOkAAAHsRgGBcsAaIvcAAADYhAME4EzVACs4AkYAAwIkIQDDObA2QbV8JAGhFCEAwjr3AAAB2IwDBOF+Yyb3AbPtKAEArQgCCcYEZIH+NJX+NPSHICi4ERAICACciAMG4wAyQZN9lMGaAAMDZCEAwLlAELdkYgKgBAgBHIwDBOK/7xBkgmy6B1f1kJWgAcCbjAWjp0qVKSEhQRESEEhMTtXHjxpP2nT59ulwuV73H+eefH9JvzZo1GjJkiMLDwzVkyBCtXbu2pU8DZ8DtdinMXRtE7JsBqo1AbvIPADiS0QC0evVqzZ07V/fdd5927NihlJQUTZw4Ubm5uQ32f+SRR5SXlxd87N27VzExMfrZz34W7JOdna20tDSlp6dr586dSk9P19SpU7Vlyxa7TgunIVAIXVlt8yUwAhAAOJLRAPTwww9rxowZmjlzpgYPHqwlS5YoPj5ey5Yta7B/dHS0evToEXxs27ZNhw4d0k033RTss2TJEl155ZXKyMjQeeedp4yMDF1++eVasmTJScdRUVGhkpKSkAfsFagDsq8Ium4hRKqAAMCRjAWgyspKbd++XampqSHtqamp2rx5c6OO8fTTT+uKK65Q3759g23Z2dn1jjlhwoRTHjMzM1PR0dHBR3x8fBPOBM3B7rWAuAseAJzNWAAqLCyU3+9XbGxsSHtsbKzy8/N/9PN5eXl67bXXNHPmzJD2/Pz8Jh8zIyNDxcXFwcfevXubcCZoDnavBs1dYADgbGGmB/DDu3Asy2rUnTkrVqxQp06dNGXKlDM+Znh4uMLDwxs5YrSEYA2Q7esAEYEAwImMzQB17dpVHo+n3sxMQUFBvRmcH7IsS88884zS09Pl8/lC3uvRo8dpHRNmBWuAbCuCDtQAAQCcyFgA8vl8SkxMVFZWVkh7VlaWkpOTT/nZ9evX68svv9SMGTPqvZeUlFTvmG+++eaPHhNmHb8EZt9+YBJ3gQGAUxm9BDZv3jylp6dr5MiRSkpK0vLly5Wbm6tZs2ZJqq3N2bdvn1auXBnyuaefflqjRo3S0KFD6x1zzpw5Gjt2rBYvXqzJkyfr5Zdf1ltvvaVNmzbZck44PceLoO2uASIBAYATGQ1AaWlpKioq0qJFi5SXl6ehQ4dq3bp1wbu68vLy6q0JVFxcrDVr1uiRRx5p8JjJyclatWqV5s+frwULFmjAgAFavXq1Ro0a1eLng9Nnfw1Q3SUw8g8AOJLxIujZs2dr9uzZDb63YsWKem3R0dEqLy8/5TGvvfZaXXvttc0xPNjE9nWAuAsMABzN+FYYgGTgNvjAExIQADgSAQitgi8QgKrtWgiRlaABwMkIQGgVzK0DZMvXAQBaGQIQWgWvzXeBiRogAHA0AhBaBbuLoGvqLoG53UQgAHAiAhBaBZ/NCyGyFyoAOBsBCK1CsAbItq0wan9SAwQAzkQAQqtg/23wzAEBgJMRgNAqeMMMLYRI/gEARyIAoVWwvQaIu8AAwNEIQGgV7F4HKMDFFBAAOBIBCK1CsAbItiLowErQAAAnIgChVbB9M9S6n0wAAYAzEYDQKvjCTNUAkYAAwIkIQGgV7N8LrO4SGPkHAByJAIRWwfZ1gOyZaAIAtFIEILQK1AABAOxEAEKrEFwHqJoaIABAyyMAoVWwfx0gaoAAwMnCTA8AkCRv3V1g3xQd0XeHylv8+6pragOQmwQEAI5EAEKr4K+pnfk5XF6lSxa/Y9v3kn8AwJkIQGgVEvvGqH+3Dvr6+yMKD7Pnyux5PSLVr0sHW74LANC6EIDQKkS38+rtX15qehgAAIegCBoAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADgOAQgAADhOmOkBtEaWZUmSSkpKDI8EAAA0VuDvduDv+KkQgBpQWloqSYqPjzc8EgAA0FSlpaWKjo4+ZR+X1ZiY5DA1NTXav3+/IiMj5XK5mvXYJSUlio+P1969exUVFdWsx8Zx/J7twe/ZHvye7cPv2h4t9Xu2LEulpaWKi4uT233qKh9mgBrgdrvVu3fvFv2OqKgo/s9lA37P9uD3bA9+z/bhd22Plvg9/9jMTwBF0AAAwHEIQAAAwHE8DzzwwAOmB+E0Ho9Hl156qcLCuALZkvg924Pfsz34PduH37U9TP+eKYIGAACOwyUwAADgOAQgAADgOAQgAADgOAQgAADgOAQgGy1dulQJCQmKiIhQYmKiNm7caHpIbc6GDRs0adIkxcXFyeVy6aWXXjI9pDYpMzNTF110kSIjI9W9e3dNmTJFu3btMj2sNmfZsmW64IILgovFJSUl6bXXXjM9rDYvMzNTLpdLc+fONT2UNuWBBx6Qy+UKefTo0cPYeAhANlm9erXmzp2r++67Tzt27FBKSoomTpyo3Nxc00NrU44cOaLhw4fr8ccfNz2UNm39+vW6/fbb9f777ysrK0vV1dVKTU3VkSNHTA+tTendu7f+/d//Xdu2bdO2bdt02WWXafLkyfrkk09MD63N+uCDD7R8+XJdcMEFpofSJp1//vnKy8sLPj766CNjY+E2eJuMGjVKI0aM0LJly4JtgwcP1pQpU5SZmWlwZG2Xy+XS2rVrNWXKFNNDafO+//57de/eXevXr9fYsWNND6dNi4mJ0e9//3vNmDHD9FDanLKyMo0YMUJLly7Vgw8+qJ/85CdasmSJ6WG1GQ888IBeeukl5eTkmB6KJGaAbFFZWant27crNTU1pD01NVWbN282NCqg+RQXF0uq/eOMluH3+7Vq1SodOXJESUlJpofTJt1+++366U9/qiuuuML0UNqs3bt3Ky4uTgkJCfr5z3+ur7/+2thYWObSBoWFhfL7/YqNjQ1pj42NVX5+vqFRAc3DsizNmzdPl1xyiYYOHWp6OG3ORx99pKSkJB07dkwdO3bU2rVrNWTIENPDanNWrVqlDz/8UB988IHpobRZo0aN0sqVKzVo0CAdOHBADz74oJKTk/XJJ5+oS5cuto+HAGQjl8sV8tqyrHptwNnmjjvu0N///ndt2rTJ9FDapHPPPVc5OTk6fPiw1qxZoxtvvFHr168nBDWjvXv3as6cOXrzzTcVERFhejht1sSJE4PPhw0bpqSkJA0YMEDPPfec5s2bZ/t4CEA26Nq1qzweT73ZnoKCgnqzQsDZ5M4779Qrr7yiDRs2qHfv3qaH0yb5fD6dc845kqSRI0fqgw8+0COPPKKnnnrK8Mjaju3bt6ugoECJiYnBNr/frw0bNujxxx9XRUWFPB6PwRG2TR06dNCwYcO0e/duI99PDZANfD6fEhMTlZWVFdKelZWl5ORkQ6MCTp9lWbrjjjv0t7/9TW+//bYSEhJMD8kxLMtSRUWF6WG0KZdffrk++ugj5eTkBB8jR47UtGnTlJOTQ/hpIRUVFfrss8/Us2dPI9/PDJBN5s2bp/T0dI0cOVJJSUlavny5cnNzNWvWLNNDa1PKysr05ZdfBl/v2bNHOTk5iomJUZ8+fQyOrG25/fbb9ec//1kvv/yyIiMjg7Ob0dHRateuneHRtR333nuvJk6cqPj4eJWWlmrVqlV699139frrr5seWpsSGRlZr36tQ4cO6tKlC3VtzehXv/qVJk2apD59+qigoEAPPvigSkpKdOONNxoZDwHIJmlpaSoqKtKiRYuUl5enoUOHat26derbt6/pobUp27Zt0/jx44OvA9eVb7zxRq1YscLQqNqewHIOl156aUj7s88+q+nTp9s/oDbqwIEDSk9PV15enqKjo3XBBRfo9ddf15VXXml6aECTfffdd/rFL36hwsJCdevWTaNHj9b7779v7O8g6wABAADHoQYIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIgOOsWLFCnTp1Mj2MBq1YsUIul0sul0tz5849Zd9+/foF+x4+fNimEQJtAwEIwI+aPn168A+t1+tV//799atf/UpHjhwxPbQ2KSoqSnl5efrXf/3XU/b74IMPtGbNGptGBbQt7AUGoFGuuuoqPfvss6qqqtLGjRs1c+ZMHTlyJLgvWFNVVlbK5/M18yjbBpfLpR49evxov27duikmJsaGEQFtDzNAABolPDxcPXr0UHx8vK677jpNmzZNL730UvD99evX6+KLL1Z4eLh69uyp3/zmN6qurg6+f+mll+qOO+7QvHnz1LVr1+CGnsXFxbr11lvVvXt3RUVF6bLLLtPOnTtPOo6kpCT95je/CWn7/vvv5fV69c4770iSDh06pBtuuEGdO3dW+/btNXHiRO3evfukx5w+fbqmTJkS0jZ37tyQzV4vvfRS3XnnnZo7d646d+6s2NhYLV++XEeOHNFNN92kyMhIDRgwQK+99lrIcT799FNdffXV6tixo2JjY5Wenq7CwsKTjgWAPQhAAE5Lu3btVFVVJUnat2+frr76al100UXauXOnli1bpqeffloPPvhgyGeee+45hYWF6b333tNTTz0ly7L005/+VPn5+Vq3bp22b9+uESNG6PLLL9fBgwcb/N5p06bphRde0In7OK9evVqxsbEaN26cpNpAs23bNr3yyivKzs6WZVm6+uqrg+M9Xc8995y6du2qrVu36s4779Q///M/62c/+5mSk5P14YcfasKECUpPT1d5ebkkKS8vT+PGjdNPfvITbdu2Ta+//roOHDigqVOnntE4ADQDCwB+xI033mhNnjw5+HrLli1Wly5drKlTp1qWZVn33nuvde6551o1NTXBPk888YTVsWNHy+/3W5ZlWePGjbN+8pOfhBz3//7v/6yoqCjr2LFjIe0DBgywnnrqqQbHUlBQYIWFhVkbNmwItiUlJVn33HOPZVmW9cUXX1iSrPfeey/4fmFhodWuXTvrxRdftCzLsp599lkrOjr6pOdnWZY1Z84ca9y4ccHX48aNsy655JLg6+rqaqtDhw5Wenp6sC0vL8+SZGVnZ1uWZVkLFiywUlNTQ467d+9eS5K1a9euBs/vBq3yzgAAA/dJREFUh2P7Me+8844lyTp06FCjPwPAspgBAtAo//M//6OOHTsqIiJCSUlJGjt2rB577DFJ0meffaakpCS5XK5g/zFjxqisrEzfffddsG3kyJEhx9y+fbvKysrUpUsXdezYMfjYs2ePvvrqqwbH0a1bN1155ZV6/vnnJUl79uxRdna2pk2bFhxLWFiYRo0aFfxMly5ddO655+qzzz47o9/BBRdcEHzu8XjUpUsXDRs2LNgWGxsrSSooKAie3zvvvBNybuedd54knfT8GvK73/0u5Bi5ublndB4AKIIG0Ejjx4/XsmXL5PV6FRcXJ6/XG3zPsqyQ8BNokxTS3qFDh5A+NTU16tmzp959991633eq29SnTZumOXPm6LHHHtOf//xnnX/++Ro+fHjI9/5QQ2MMcLvd9T7X0OWyE89ZUvCuuBNfB84r8HPSpElavHhxvWP17NnzZKdXz6xZs0Ium8XFxTX6swAaRgAC0CgdOnTQOeec0+B7Q4YM0Zo1a0JCxubNmxUZGalevXqd9JgjRoxQfn6+wsLC1K9fv0aPZcqUKbrtttv0+uuv689//rPS09NDxlJdXa0tW7YoOTlZklRUVKQvvvhCgwcPbvB43bp108cffxzSlpOTUy/wNNWIESO0Zs0a9evXT2Fhp/+f25iYGO72ApoZl8AAnLHZs2dr7969uvPOO/X555/r5Zdf1v3336958+bJ7T75f2auuOIKJSUlacqUKXrjjTf0zTffaPPmzZo/f762bdt20s916NBBkydP1oIFC/TZZ5/puuuuC743cOBATZ48Wbfccos2bdqknTt36vrrr1evXr00efLkBo932WWXadu2bVq5cqV2796t+++/v14gOh233367Dh48qF/84hfaunWrvv76a7355pu6+eab5ff7z/j4AE4fAQjAGevVq5fWrVunrVu3avjw4Zo1a5ZmzJih+fPnn/JzLpdL69at09ixY3XzzTdr0KBB+vnPf65vvvkmWE9zMtOmTdPOnTuVkpKiPn36hLz37LPPKjExUddcc42SkpJkWZbWrVt30hmdCRMmaMGCBfqXf/kXXXTRRSotLdUNN9zQtF9CA+Li4vTee+/J7/drwoQJGjp0qObMmaPo6OhTBkMALc9lneyCOQDAditWrNDcuXMbvbXFu+++q/Hjx+vQoUOtdnsPoDXinyAA0MoUFxerY8eO+vWvf33Kfueff74mTpxo06iAtoUZIABoRUpLS3XgwAFJtXfCde3a9aR9v/322+Ddav379+eyGtAEBCAAAOA4/HMBAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4DgEIAAA4zv8Hjl41tWqWVyoAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "co2 breakthrough time is 4296.554255821137\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fd99d470978>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_oil_water = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_solvent = FF.oil_water_fluids(mu_water=1.1e-3, mu_oil=1e-3)\n",
    "rel_perms_oil_water = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_solvent = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "swc=0.15, sor=0.05, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(sw_init = 1-0.2)\n",
    "core_props = FF.core_properties()\n",
    "K_eq = 2.0\n",
    "sol_res = FF.water_soluble_solvent_flood(core_props, fluids_solvent, fluids_oil_water, \n",
    "    rel_perms_oil_water, rel_perms_solvent, core_flood, K_eq)\n",
    "FF.visualize(sol_res)"
   ]
  }
 ],
 "metadata": {
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